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Journal articles on the topic 'Non-Euclidean mathematical model parameters'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Tashlinskii, A. G., A. V. Zhukova, and D. G. Kraus. "Convergence characteristics at stochastic estimation of image inter-frame deformations." Information Technology and Nanotechnology, no. 2391 (2019): 114–20. http://dx.doi.org/10.18287/1613-0073-2019-2391-114-120.

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Several approaches to the numerical description of image inter-frame geometric deformations parameters estimates behavior at iterations of non-identification relay stochastic gradient estimation are considered. The probability density of the Euclidean mismatch distance of estimates vector is chosen as an argument of the characteristics forming the numerical values. It made it possible to ensure invariance of research to the set of parameters of the used inter-frame geometric deformations model. The mathematical expectation, the probability of exceeding a given threshold value of the convergenc

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Pires da Silva, P., Serge Sutulo, and C. Guedes Soares. "Sensitivity Analysis of Ship Manoeuvring Mathematical Models." Journal of Marine Science and Engineering 11, no. 2 (2023): 416. http://dx.doi.org/10.3390/jmse11020416.

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Sensitivity analysis is applied to ship manoeuvring mathematical models as a means of dealing with model uncertainties, and often leads to model simplifications. A rather standard 3DOF manoeuvring model was tuned with the available results of full-scale trials of a naval combatant and was further used as the reference model for sensitivity analysis. The present research was based on multiple perturbed simulations of the turning, zigzag and spiral manoeuvres. A salient feature of the present study is that the perturbations were applied to the total hydrodynamic forces and moments as well as sep

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3

Liang, Yingjie, Ninghu Su, and Wen Chen. "A time-space Hausdorff derivative model for anomalous transport in porous media." Fractional Calculus and Applied Analysis 22, no. 6 (2019): 1517–36. http://dx.doi.org/10.1515/fca-2019-0079.

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Abstract This paper presents a time-space Hausdorff derivative model for depicting solute transport in aquifers or water flow in heterogeneous porous media. In this model, the time and space Hausdorff derivatives are defined on non-Euclidean fractal metrics with power law scaling transform which, respectively, connect the temporal and spatial complexity during transport. The Hausdorff derivative model can be transformed to an advection-dispersion equation with time- and space-dependent dispersion and convection coefficients. This model is a fractal partial differential equation (PDE) defined o

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Hu, Kai, Jiasheng Wu, Yaogen Li, Meixia Lu, Liguo Weng, and Min Xia. "FedGCN: Federated Learning-Based Graph Convolutional Networks for Non-Euclidean Spatial Data." Mathematics 10, no. 6 (2022): 1000. http://dx.doi.org/10.3390/math10061000.

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Federated Learning (FL) can combine multiple clients for training and keep client data local, which is a good way to protect data privacy. There are many excellent FL algorithms. However, most of these can only process data with regular structures, such as images and videos. They cannot process non-Euclidean spatial data, that is, irregular data. To address this problem, we propose a Federated Learning-Based Graph Convolutional Network (FedGCN). First, we propose a Graph Convolutional Network (GCN) as a local model of FL. Based on the classical graph convolutional neural network, TopK pooling

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Losev, A. "Statistical evaluation of the periodicity parameter the model of zonal disintegration rocks." Bulletin of Science and Practice 7 (July 13, 2017): 78–82. https://doi.org/10.5281/zenodo.826485.

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In work the problem of zonal disintegration of rocks around deep underground developments is considered. The small review of scientific works in the field is provided, the main results and the conclusions about their convergence with natural data and laboratory experiments are reflected, the used methods and approaches are described. In the work the parameter of frequency of function of deficiency which is the solution of a task on distribution of the field of tension around development of round section, in the conditions of an incompressibility and hydrostatic character of a loading on infini

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6

Larsen, Jens Christian. "Bistability theorem in a cancer model." International Journal of Biomathematics 11, no. 01 (2018): 1850004. http://dx.doi.org/10.1142/s1793524518500043.

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In this paper, I continue the study of the mathematical models presented in [J. C. Larsen, Models of cancer growth, J. Appl. Math. Comput. 53(1–2) (2015) 613–645] and [J. C. Larsen, The bistability theorem in a model of metastatic cancer, to appear in Appl. Math.]. I shall prove the bistability theorem for the ODE model from [Larsen, 2015]. It is a mass action kinetic system in the variables [Formula: see text] cancer, GF growth factor and GI growth inhibitor. This theorem says that for some values of the parameters, there exist two positive singular points [Formula: see text], [Formula: see t

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7

Šatkauskas, Gintautas. "CONCEPT OF ECONOMICAL‐MATHEMATICAL MODEL OF LAND MARKET." Technological and Economic Development of Economy 13, no. 4 (2007): 333–40. http://dx.doi.org/10.3846/13928619.2007.9637819.

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Input parameters, ie factors defining the market price of agricultural‐purpose land, are interrelated very often by means of non‐linear ties. Strength of these ties is rather different and this limits usefulness of information in the research process of land market prices. Influence of input parameter changes to the input parameters in case when there are rather substantial changes may be determined in someone direction with a sufficient precision, whereas in other directions with comparatively small changes of input parameters this influence is difficult to be separated from the “noise” backg

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Dyda, Alexander Aleksandrovich, and Kseniya Chumakova. "IDENTIFICATION OF PARAMETERS OF MATHEMATICAL NON-LINEAR MODEL OF VESSEL LONGITUDINAL MOTION." Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics 2021, no. 2 (2021): 99–108. http://dx.doi.org/10.24143/2072-9502-2021-2-99-108.

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The article considers the important task of modern control theory to construct an adequate mathematical model of a specific dynamic object or vessel movement, that is, its identifica-tion (structural or parametric). It is proposed to construct a nonlinear model of the longitudinal motion of the ship. Practical data were obtained experimentally, a brief description of the experimental platform for an unmanned boat and equipment used in the study of the object dynamic characteristics is given. It is noted that the boat is characterized by three modes of movement: displacement, transitional and p

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9

Trukhanov, K. A. "FORMATION МODEL OF A CRACK IN A ROCK WITH NON-STATIONARY SHAPE PARAMETERS DURING HYDRAULIC FRACTURING". Spravochnik. Inzhenernyi zhurnal, № 309 (грудень 2022): 48–54. http://dx.doi.org/10.14489/hb.2022.12.pp.048-054.

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Currently, hydraulic fracturing (HF) is used for hard-to-recover hydrocarbon reserves. As a result of hydraulic fracturing, cracks are formed in productive formations. To select the technological parameters of hydraulic fracturing, it is necessary to be able to calculate the fracture shape parameters – length and width. In this regard, the creation of a mathematical model for calculating the parameters of the shape of a crack in a rock is an urgent task. The article presents a mathematical model for the development of a crack in a rock, taking into account the non-stationary parameters of its

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10

Lobaty, A. A., and V. Y. Stepanov. "PARAMETRIC IDENTIFICATION OF STOCHASTIC SYSTEM BY NON-GRADIENT RANDOM SEARCHING." Science & Technique 16, no. 3 (2017): 256–61. http://dx.doi.org/10.21122/2227-1031-2017-16-3-256-261.

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At this moment we know a great variety of identification objects, tasks and methods and its significance is constantly increasing in various fields of science and technology. The identification problem is dependent on a priori information about identification object, besides that the existing approaches and methods of identification are determined by the form of mathematical models (deterministic, stochastic, frequency, temporal, spectral etc.). The paper considers a problem for determination of system parameters (identification object) which is assigned by the stochastic mathematical model in

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11

Yang, Can, Junwei Wang, Zhigang Fang, and Fangyan Zheng. "The mathematical model of non-circular crossed-axis gear." Advances in Mechanical Engineering 15, no. 3 (2023): 168781322311609. http://dx.doi.org/10.1177/16878132231160918.

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Non-circular crossed gear can be regarded as the general form of the single stage gear, which can be converted into hypoid gearing, non-circular bevel gearing, non-circular external gearing, and non-circular internal gearing with specific parameters. This paper established its mathematical model, deduced equation of its axode, and put forward a new method of tooth profile generation with introduction of relative velocity. In term of the theory above, the 3D model of a pair of conjugated gears was built, and its output angular velocity was obtained in analysis of ADAMS. Finally, the physical pr

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12

Al-Hamadi, Helal. "Photovoltaic Cell Parameters Identification Using Nonlinear Mathematical Programming." Advanced Materials Research 827 (October 2013): 186–90. http://dx.doi.org/10.4028/www.scientific.net/amr.827.186.

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This paper proposes a mathematical programming based approach for optimal estimation of photovoltaic cell model parameters. In this study, solar cell models are used to represent the current-voltage characteristics of the solar cell. The model is represented as a non-linear function that relates the cell current and voltage with some parameters to be estimated. No direct general analytical solution exists for such function. Given the input-output characteristic data of the solar cell, a mathematical programming technique is used to solve a set of transcendental equations to optimally estimate

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13

Wang, J. H., and H. Y. Huang. "Model and Parameters Identification of Non-Linear Joint by Force-State Mapping in Frequency Domain." Journal of Mechanics 23, no. 4 (2007): 367–80. http://dx.doi.org/10.1017/s1727719100001428.

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AbstractGenerally, the Force-State Mapping (FSM) is an effective method to identify the parameters of nonlinear joints provided that the joint model is exactly known in advance. However, the variation of the non-linear joints is so large that the mathematical models of non-linear joints generally are not known in advance. Therefore, the model and the parameters of a non-linear joint should be identified simultaneously in practice. In this work, a new identification procedure which was based on the FSM method in frequency domain was proposed to identify the mathematical model and parameters of

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14

Gadgil, Chetan, Anette Rink, Craig Beattie, and Wei-Shou Hu. "A Mathematical Model for Suppression Subtractive Hybridization." Comparative and Functional Genomics 3, no. 5 (2002): 405–22. http://dx.doi.org/10.1002/cfg.206.

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Suppression subtractive hybridization (SSH) is frequently used to unearth differentially expressed genes on a whole-genome scale. Its versatility is based on combining cDNA library subtraction and normalization, which allows the isolation of sequences of varying degrees of abundance and differential expression. SSH is a complex process with many adjustable parameters that affect the outcome of gene isolation.We present a mathematical model of SSH based on DNA hybridization kinetics for assessing the effect of various parameters to facilitate its optimization. We derive an equation for the prob

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15

Gutiérrez, Milton Milciades Cortez, and Lauriano Portilla Sandoval. "Mathematical model of glucose concentration in blood plasma." Brazilian Journal of Development 9, no. 12 (2023): 32062–81. http://dx.doi.org/10.34117/bjdv9n12-101.

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An analysis is made of the dynamic properties of the glucose, glucagon and other hormones (insulin) concentration system in the blood; The estimation of parameters was done by non-linear least squares for glucose and for the stability of the system the method of eigenvalues, the response of the system was also obtained using transfer functions with unit step input. As a result of the estimation of parameters and simulation of the system, it allowed us to observe that this control strategy by least squares and transfer functions obtained similar results.

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16

Slabospitsky, Alexander. "Recurrent algorithm for non-stationary parameter estimation by least squares method with least deviations from attraction points for non-linear dynamic systems under non-classical assumptions." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 2 (2024): 59–64. https://doi.org/10.17721/1812-5409.2024/2.10.

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For discrete non-linear dynamic systems, the problem of optimal estimation of non-stationary parameters that can slowly change over time is considered. The method of least squares with a variable forgetting factor is used to estimate the unknown parameters of the above-mentioned objects. The situation is considered when the classical assumptions that guarantee the uniqueness of this estimate may be violated. In previous publications, the estimate that has the smallest euclidean norm, i.e. the smallest deviation from the zero vector, was analyzed as a unique estimate on the set of all such esti

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17

Dhaundiyal, Alok, and Suraj B. Singh. "Asymptotic Approximations to the Non-Isothermal Distributed Activation Energy Model for Bio-Mass Pyrolysis." Acta Mechanica et Automatica 11, no. 4 (2017): 293–301. http://dx.doi.org/10.1515/ama-2017-0045.

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AbstractThis paper describes the influence of some parameters significant to biomass pyrolysis on the numerical solutions of the non-isothermal nth order distributed activation energy model (DAEM) using the Gamma distribution and discusses the special case for the positive integer value of the scale parameter (λ), i.e. the Erlang distribution. Investigated parameters are the integral upper limit, the frequency factor, the heating rate, the reaction order, and the shape and rate parameters of the Gamma distribution. Influence of these parameters has been considered for the determination of the

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18

Shatokhin, Vladimir, and Serhii Krasnikov. "Research of dynamic processes in a non-holonomic ball mill model." Bulletin of Kharkov National Automobile and Highway University, no. 108 (May 16, 2025): 61. https://doi.org/10.30977/bul.2219-5548.2025.108.0.61.

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Annotation. Problem. Creation of a universal mathematical model of dynamic processes in a shockless ball mill model to determine the technological qualities of the device and select its rational parameters. Goal. A nonholonomic mathematical model of dynamic processes in a ball mill has been created. Differential equations of motion of a ball in a spherical shell that performs circular translational motion are obtained in the form of the Appel equations. When writing the acceleration function, quasi-velocities were used. An algorithm for converting the Appel equations into first-order different

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19

Kasperovich, A. M., A. P. Shevelev, and A. Ya Gilmanov. "Non-isothermal mathematical model of blocking tecnogenic fractures." Vestnik of Samara University. Natural Science Series 30, no. 4 (2025): 101–15. https://doi.org/10.18287/2541-7525-2024-30-5-101-115.

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Nowadays, large oil fields have moved to the stage of declining production, to maintain reservoir pressure, it is necessary to apply flooding technologies. To maintain the previous rates of oil production, it is necessary to force selections by increasing the value of downhole pressure on the injection wells. However, the risks of exceeding the fracturing pressure are increasing, which can lead to the formation of technogenic fractures. An intensive increase in the fracture can lead to an increase in the risks of premature water reaching through it into the drainage zone of the producing wells

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20

de Pillis, Lisette, K. Renee Fister, Weiqing Gu, et al. "Mathematical Model Creation for Cancer Chemo-Immunotherapy." Computational and Mathematical Methods in Medicine 10, no. 3 (2009): 165–84. http://dx.doi.org/10.1080/17486700802216301.

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One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities. A sophisticated model constructed by de Pilliset al.,Mixed immunotherapy and chemotherapy of tumours: Modelling, applications and biological interpretations, J. Theor. Biol. 238 (2006), pp. 841–862; involves tumour cells, specific and non-specific immune cells (natural killer (NK) cells, CD8+T cells and other lymphocytes) and empl

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21

Godovnikov, E. A., R. V. Saifullin та A. G. Scherbakov. "МETHODOLOGY FOR DETERMINING THE SHARE CONTRIBUTION OF NON-LINEAR CONSUMERS TO THE QUALITY INDICATORS OF ELECTRICAL ENERGY". DYNAMICS OF SYSTEMS, MECHANISMS AND MACHINES 12, № 1 (2024): 43–54. https://doi.org/10.25206/2310-9793-2024-12-1-43-54.

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This article discusses the issues of determining the share contribution of individual consumers of electrical energy to changes in the quality indicators of electrical energy at the point of common connection. The proposed technique is based on mathematical modeling of energy conversion processes in complex electrical complexes, on the technique of identifying parameters and characteristics of mathematical models. The paper examines in detail the issues of mathematical modeling of electrical energy transmission processes in a power supply system containing non-linear consumers of electrical en

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22

Shilov, I. V., A. V. Fedin, and Yu M. Skriabin. "Thermal Matematical Model of the Non-detonation of the Ammunition." Izvestiya of Saratov University. Economics. Management. Law 12, no. 3 (2012): 82–86. http://dx.doi.org/10.18500/1994-2540-2012-12-3-82-86.

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Mathematical model of heat through the shell of ammunition, to initiate the combustion reaction and assess the possibility of destruction of the shell to achieve the critical parameters of the detonation of the charge is submitted. Heating of a cover of an explosive is made by laser system.

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23

Mohammad, Soleimani Amiri, Faisal Ibrahim Mohd, and Ramli Rizauddin. "Optimal parameter estimation for a DC motor using genetic algorithm." International Journal of Power Electronics and Drive System (IJPEDS) 11, no. 2 (2020): 1047–54. https://doi.org/10.11591/ijpeds.v11.i2.pp1047-1054.

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Estimating the parameters of a geared DC motor is crucial in terms of its non-linear features. In this paper, parameters of a geared DC motor are estimated genetically. Mathematical model of the DC motor is determined by Kirchhoff’s law and dynamic model of its shafts and gearbox. Parameters of the geared DC motor are initially estimated by MATLAB/Simulink. The estimated parameters are defined as initial values for Genetic Algorithm (GA) to minimize the error of the simulated and actual angular trajectory captured by an encoder. The optimal estimated model of the geared DC motor is valid

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24

Kovács, Róbert. "Mathematical aspects of non-Fourier heat equations." Journal of Computational and Applied Mechanics 17, no. 1 (2022): 1–12. http://dx.doi.org/10.32973/jcam.2022.001.

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Due to technological advancement, as materials with complex structures (e.g., metamaterials and foams) appear in practice there is a need to develop advanced thermal models. These are called non-Fourier equations, and all have particular mathematical properties differing from the conventional attributes of Fourier's law. The present paper discusses the thermodynamic origin of non-Fourier equations and their consequences. The second law of thermodynamics influences the relations among the material parameters, and therefore, it restricts how the temperature-dependent properties can be included i

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25

Akhtar, Salman, Luthais B. McCash, Sohail Nadeem, Salman Saleem, and Alibek Issakhov. "Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects." Science Progress 104, no. 3 (2021): 003685042110316. http://dx.doi.org/10.1177/00368504211031693.

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The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by

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26

Gurbanov, Abdulaga, Ijabika Sardarova, and Javida Damirova. "Building a mathematical model to prevent hydrate formation in gas pipelines." EUREKA: Physics and Engineering, no. 5 (September 30, 2022): 12–20. https://doi.org/10.21303/2461-4262.2022.002541.

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Development of mathematical models of laminar gas flow in certainty and uncertainty conditions were considered. All factors that influence to character of flow of gas in pipeline and conditions of arising of hydrate inside of pipeline wall are analyzed. Results of analyze were used for development mathematical model of gas flow in pipeline that allow to calculate main parameters of hydrate deposition process. Model of gas flow consist of three non-linear differential equations that can be solved by exist soft wares. Two and three-dimension characteristic obtained, that describe of quantity of

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27

Bureika, Gintautas, and Rimantas Subačius. "MATHEMATICAL MODEL OF DYNAMIC INTERACTION BETWEEN WHEEL-SET AND RAIL TRACK." TRANSPORT 17, no. 2 (2002): 46–51. http://dx.doi.org/10.3846/16483480.2002.10414010.

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The main goal of this title is to show how the effects on maximum bending tensions at different locations in the track caused by simultaneous changes of the various parameters can be estimated in a rational manner The dynamic of vertical interaction between a moving rigid wheel and a flexible railway track is investigated. A round and smooth wheel tread and an initially straight and non-corrugated rail surface are assumed in the present optimisation study. Asymmetric linear three-dimensional beam structure model of a finite length of the track is suggested including rail, pads. sleepers and ba

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28

Widayat, Muhamad Akbar Bin, and Ditdit Nugeraha Utama. "Fuzzy-Based Decision Support Model for Assessing Green Building Performance." CommIT (Communication and Information Technology) Journal 18, no. 2 (2024): 211–27. http://dx.doi.org/10.21512/commit.v18i2.9797.

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Global warming is currently a major environmental issue that is capable of causing unpredictable climate changes. The phenomenon is due to the accumulation of gases and carbon dioxide in the earth’s atmosphere, partly attributed to building operation and construction. The Green Building Rating System (GBRS) is developed to assess and measure the level of green building practices to address this problem. The assessments have typically been conducted using conventional methods that require parameters to meet specific criteria. However, certain parameter values cannot be calculated using objectiv

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29

Florez, Frank, Jesús Alejandro Alzate-Grisales, Pedro Fernández de Córdoba, and John Alexander Taborda-Giraldo. "Methodology for Modeling Multiple Non-Homogeneous Thermal Zones Using Lumped Parameters Technique and Graph Theory." Energies 16, no. 6 (2023): 2693. http://dx.doi.org/10.3390/en16062693.

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Asymmetric thermal zones or even non-rectangular structures are common in residential buildings. These types of structures are not easy to model with specialized programs, and it is difficult to know the heat flows and the relationships between the different variables. This paper presents a methodology for modeling structures with multiple thermal zones using the graph theory arrangement. The methodology allows for generating a mathematical model using all the walls of each thermal zone. The modeling method uses the lumped parameter technique with a structure of two resistors and two capacitor

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30

KRAVTSOV, Andrii, Dmytro LEVKIN, Natalija BEREZHNA, and Artur LEVKIN. "METHODOLOGICAL APPROACH TO THE MATHEMATICAL MODELS CONSTRUCTION OF BIOOBJECT PROBLEMS." Herald of Khmelnytskyi National University. Technical sciences 317, no. 1 (2023): 105–10. http://dx.doi.org/10.31891/2307-5732-2023-317-1-105-110.

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This article reveals a technique for the mathematical modeling of biotechnological systems that contain sources of laser action. Calculation and optimization mathematical models for finding rational values of the technical parameters of the emitters are the basis for this. The authors researched the main aspects of the theory of analysis and synthesis of complex systems that contain concentrated, moving sources of physical fields. To ensure the viability of embryo cells, it is necessary to carefully monitor the level of embryo heating not only at the points closest to the laser dissection site

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Odinaev, V. A., I. I. Shigapov, V. A. Dolgov, and K. G. Saskov. "MATHEMATICAL MODEL OF AN AC DIESEL GENERATOR WITH STATIC LOAD." Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" 16, no. 4 (2024): 56–66. https://doi.org/10.14529/mmph240407.

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The solution to the problem of technical diagnostics of the state of power plants on board surface ships and non-nuclear submarines requires the use of portable diagnostic systems. Their key element is a mathematical model of a diesel generator. The paper presents a comprehensive mathematical model of a diesel generator as a result of combining mathematical models of a diesel engine and a synchronous generator. The operation of a diesel engine is modeled on the basis of an aggregated basic mathematical model of a marine internal combustion engine, implemented on the example of a diesel generat

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32

Podderegin, O. A. "Analysis of the Mathematical Model of Cancer Dynamics." Mathematics and Mathematical Modeling, no. 1 (September 24, 2022): 1–20. http://dx.doi.org/10.24108/mathm.0122.0000299.

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Qualitative analysis of dynamic systems is a powerful research tool used to solve a great deal of application problems. In mathematical models described by ordinary differential equations, the study of equilibrium positions has actually become the standard: their number and location depending on the parameters, as well as issues of local stability. In mathematical models in various fields of chemistry and biology, it is also important that the natural requirements for the possible values of phase variables are not violated in the process of dynamics (as a rule, this is the non-negativity con

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Browning, Alexander P., and Matthew J. Simpson. "Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates." PLOS Computational Biology 19, no. 1 (2023): e1010844. http://dx.doi.org/10.1371/journal.pcbi.1010844.

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An enduring challenge in computational biology is to balance data quality and quantity with model complexity. Tools such as identifiability analysis and information criterion have been developed to harmonise this juxtaposition, yet cannot always resolve the mismatch between available data and the granularity required in mathematical models to answer important biological questions. Often, it is only simple phenomenological models, such as the logistic and Gompertz growth models, that are identifiable from standard experimental measurements. To draw insights from complex, non-identifiable models

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34

Tsetimi, Jonathan, Marcus Ifeanyi Ossaiugbo, and Augustine Atonuje. "Bifurcation Analysis of a Mathematical Model for the Covid-19 Infection among Pregnant and Non-Pregnant Women." European Journal of Pure and Applied Mathematics 15, no. 2 (2022): 537–56. http://dx.doi.org/10.29020/nybg.ejpam.v15i2.4312.

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A mathematical study and analysis of the covid-19 disease is essential in the control and eradication of the dreadful covid-19 infection. This research work is focused on the covid-19 infection among the women population. The women population was divided into seven compartments. These compartments were built into a deterministic model presented as a system of ordinary differential equations. Basic mathematical analyses such as positivity of solution, the disease-free equilibrium and the basic reproduction number, were performed on the model. The model assumes only positive solutions and the to

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35

Amiri, Mohammad Soleimani, Mohd Faisal Ibrahim, and Rizauddin Ramli. "Optimal parameter estimation for a DC motor using genetic algorithm." International Journal of Power Electronics and Drive Systems (IJPEDS) 11, no. 2 (2020): 1047. http://dx.doi.org/10.11591/ijpeds.v11.i2.pp1047-1054.

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Estimating the parameters of a geared DC motor is crucial in terms of its non-linear features. In this paper, parameters of a geared DC motor are estimated genetically. Mathematical model of the DC motor is determined by Kirchhoff’s law and dynamic model of its shafts and gearbox. Parameters of the geared DC motor are initially estimated by MATLAB/SIMULINK. The estimated parameters are defined as initial values for Genetic Algorithm (GA) to minimize the error of the simulated and actual angular trajectory captured by an encoder. The optimal estimated model of the geared DC motor is validated b

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36

Gasim, Ahmed, and Haitham A.A.Elboushi. "Fundamental Parameters Affecting Non Linearity of Suspension Bridges." FES Journal of Engineering Sciences 2, no. 1 (2006): 29. http://dx.doi.org/10.52981/fjes.v2i1.92.

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In this research factors affecting the non-linearity of suspension bridges were studied. The fundamental parameters studied are the main and side span lengths, cable sag, tower height, cable x-section and the flexural rigidity of the stiffening girder .The effect of variation of each parameter on the cable tension and the girder moments is studied. A non-linear 2-dimensional mathematical model of a 3 span, continuous suspension bridge is considered . The solution is based on the second order deflection theory given in a computerized form. It has been found that the degree of effect of these pa

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Ghendov-Mosanu, Aliona, Rodica Sturza, Tudor Cherecheș, and Antoanela Patras. "A fuzzy logic approach to modeling of the extraction process of bioactive compounds." Journal of Engineering Science XXVI (3) (September 18, 2019): 89–99. https://doi.org/10.5281/zenodo.3444119.

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The aim of the present study was to optimize the extraction process of bioactive compounds from berries and wastes from the agro-food industry (grape marc). Mathematical models of the extraction process of biologically active compounds based on algorithms of artificial intelligence: fuzzy logic and neuro-fuzzy algorithms have been established. The mathematical models, which use the experimental average values of uncertain models, as well as of some predictive models, offer values of the sizes with a large prediction horizon. It was established, that mathematical models, which use the experimen

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Gundermann, M., P. Heidebrecht, and K. Sundmacher. "Validation of a Mathematical Model Using an Industrial MCFC Plant." Journal of Fuel Cell Science and Technology 3, no. 3 (2006): 303–7. http://dx.doi.org/10.1115/1.2211634.

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The parameter identification of a mathematical model of a molten carbonate fuel cell (MCFC) is presented. The model is spatially distributed in two dimensions and describes the strongly non-linear coupling of the temperature field and reactions inside a MCFC. It contains a high number of unknown parameters that need to be validated by experimental means. Therefore, measurements from an industrial 250kW fuel cell power plant are used. This validation approach requires an elaborate strategy, which is presented in detail. The resulting set of parameters can predict the behavior of the MCFC over a

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Liu, Xinying, Shoufeng Jin, Zixuan Yang, Grzegorz Królczyk, and Zhixiong Li. "Measuring Shape Parameters of Pearls in Batches Using Machine Vision: A Case Study." Micromachines 13, no. 4 (2022): 546. http://dx.doi.org/10.3390/mi13040546.

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To solve the problem of low precision of pearl shape parameters’ measurement caused by the mutual contact of batches of pearls and the error of shape sorting, a method of contacting pearls’ segmentation based on the pit detection was proposed. Multiple pearl images were obtained by backlit imaging, the quality of the pearl images was improved through appropriate preprocessing, and the contacted pearl area was extracted by calculating the area ratio of the connected domains. Then, the contour feature of the contact area was obtained by edge tracking to establish the mathematical model of the an

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Grinkevich, Vladimir. "The identification of a device based on a Peltier element by the least squares method." Proceedings of the Russian higher school Academy of sciences, no. 1-2 (June 19, 2020): 17–27. http://dx.doi.org/10.17212/1727-2769-2020-1-2-17-27.

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The evaluation of the mathematical model parameters of a non-linear object with a transport delay is considered in this paper. A temperature controlled stage based on a Peltier element is an identification object in the paper. Several input signal implementations are applied to the input of the identification object. The least squares method is applied for the calculation of the non-linear differential equitation parameters which describe the identification object. The least squares method is used due to its simplicity and the possibility of identification non-linear objects. The parameters va

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Aqel, Fatima, Alaa Hamza, and Alaa Nour Eddine. "MATHEMATICAL MODEL OF COVID-19 TRANSMISSIBILITY DURING THE VACCINATION PERIOD." Eurasian Journal of Mathematical and Computer Applications 11, no. 1 (2023): 4–28. http://dx.doi.org/10.32523/2306-6172-2023-11-1-4-28.

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The aim of this work is to develop a new Reservoir People (RP) transmission mathematical model, to simulate the potential transmission of COVID-19 virus and Delta variant in the Moroccan population during the vaccination period. The originality of this work resides in the fact that the different parameters that appear in the model problem, depend on the period of vaccination. The existence and uniqueness of non-negative normalized solutions are proved. A cost function to minimize with respect to the parameters is defined. To this aim, a novel hybrid algorithm, called Neural Network with Sine-C

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Kotov, B. І., S. P. Stepanenko, R. A. Kalinichenko, S. M. Hrushetskiy, and A. V. Rud. "Mathematical modeling of vibration drying process taking into account the longitudinal movement of grain material." MECHANICS and AUTOMATICS of AGROINDUSTRIAL PRODUCTION, no. 2(116) (2023): 110–19. http://dx.doi.org/10.37204/2786-7765-2023-2-12.

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Purpose. Construction of a mathematical model of non-stationary thermal mass transfer in the drying process in the vibration equipment, taking into account the longitudinal movement of the grain material. Methods. Mathematical modeling methods based on a formalized description in the form of two nonlinear inhomogeneous differential equations of the non-stationary process of drying grain material in a vibrating dryer taking into account longitudinal movement. Results. A mathematical description of the process of drying grain material in a vibrating grain dryer has been formed, taking into accou

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Baranov, A. V. "Non-isothermal Modelling and Optimisation Methodology of the Injection Moulding of Rubber Products." Polymers and Polymer Composites 25, no. 2 (2017): 153–60. http://dx.doi.org/10.1177/096739111702500205.

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The process of injection moulding is regarded as a combination of separate operations linked by certain process parameters. The first part of this study presents a mathematical model of the non-isothermal flow of rubber mixes along mould sprue channels, taking into account all the main features of the injection moulding process. On the basis of this model, an attempt is made to develop a methodology for optimising the injection stage. Diagrams linking the main process parameters are plotted. The second part of the study is devoted to the final stage of this cycle – the vulcanisation stage. The

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Saroj, Chalise, and Laxman Poudel Dr. "Optimization of Closure Law of Guide Vanes for an Operational Hydropower Plant of Nepal." International Journal of Engineering and Management Research 9, no. 5 (2019): 73–79. https://doi.org/10.31033/ijemr.9.5.12.

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This paper addresses the optimization of twostage closure law of guide vanes in an operational hydropower plant of Nepal. The mathematical model has been established in commercial software Bentley Hammer, whose correctness has been validated by comparing the results with the data of experimental load rejection test. The validated mathematical model has been employed to find the parameters of optimum closure pattern, which minimizes the non-linear objective function of maximum water pressure and maximum rotational speed of turbine.

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Ashok, Pegadapalli, Haleem Unnisa, Rama Udai Kumar, and M. Chenna Krishna Reddy. "Influence of Magneto-hydrodynamic with Williamson Nanofluid Flow Control of Forcheeimer Model under Chemical Reaction." Indian Journal Of Science And Technology 17, no. 25 (2024): 2658–66. http://dx.doi.org/10.17485/ijst/v17i25.1484.

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Objective: The research focused on Williamson's nonlinear governing flow on Magneto hydrodynamic incompressible, steady fluid over a porous stretching sheet in a two-dimensional direction. The permeable stretching sheet embedded by Williamson fluid is based on the flow model of non-Darcy Forchheimer law with chemical reaction. This article concentrated on an energy equation dominated by the dissipation parameter analysis. Methods: The governing mathematical partial derivative formulations are changed to a system of ordinary differential formulations with appropriate similarity transformation.

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Akan, A. Osman, and Abdulaziz A. Al-Turbak. "The Rational Formula Interpreted Using a Physically-Based Mathematical Model." Hydrology Research 19, no. 1 (1988): 41–52. http://dx.doi.org/10.2166/nh.1988.0003.

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A new interpretation is given for the rational formula in view of a mathematical model founded on the kinematic overland flow and Green and Ampt infiltration equations. The potential variability of the runoff coefficient with various rainfall and basin characteristics is demonstrated. However, using the concept of hydrologic similarity, it is possible to predict the runoff coefficient in terms of several physically-based non dimensional parameters for homogeneous planar, rectangular basins.

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Meireles, Catarina, José Machado, and Celina P. Leão. "Modeling and Simulation of Physical Parameters of Human Respiratory System." Applied Mechanics and Materials 658 (October 2014): 447–52. http://dx.doi.org/10.4028/www.scientific.net/amm.658.447.

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The respiratory system, due to its non-linear behaviour, is of difficult representation through fixed physical components and common control systems. Therefore, mathematical equations, that represents the respiratory cycle; mechanical components, giving dimension and movement to the simulator; and the electronic components, allowing data acquisition and system control are some factors that must be known and synchronized. The presented work describes the implementation of a mathematical model (in MatLab) that reproduces the non-linear behaviour of the respiratory system, allowing the characteri

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Tusset, Angelo M., Jonierson A. Cruz, Jose M. Balthazar, Maria E. K. Fuziki, and Giane G. Lenzi. "Non-Linear Control and Numerical Analysis Applied in a Non-Linear Model of Cutting Process Subject to Non-Ideal Excitations." Modelling 5, no. 4 (2024): 1889–904. https://doi.org/10.3390/modelling5040098.

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This work presents a non-linear mathematical model of a machining system subjected to a non-ideal vibration source. Computer simulations have shown chaotic behavior for specific parameters of the proposed mathematical model. The chaotic behavior is proven using time histories, phase diagrams, bifurcation diagrams, and the Lyapunov exponent. Considering that cutting tool vibration in the machining process is one of the main problems of productivity and machining accuracy, the introduction of a magnetorheological damper was considered in the proposed model to reduce the vibration amplitudes of t

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Lamrhari, M. "Vibration with non-linear damping. stochastic approach." MATEC Web of Conferences 286 (2019): 01005. http://dx.doi.org/10.1051/matecconf/201928601005.

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This paper describes a stochastic approach to the vibration behavior of a nonlinear damping structure. The deterministic approach is based on motion equations including the non-linearity of damping. For the stochastic calculation, the deviations were assigned to the input parameters of the mathematical model. The probabilistic distribution of these parameters must reflect real operational situations. Numerical simulations were performed with MATLAB using the Monte Carlo and perturbation method. The resulting curves for the parameters studied can find a practical application in the optimization

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Trojan, Marcin, and Mariusz Granda. "Modeling of the boiler economizer." MATEC Web of Conferences 240 (2018): 05034. http://dx.doi.org/10.1051/matecconf/201824005034.

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The boiler economizer is a tube heat exchanger located in the final part of the convective duct. In the economizer, water flowing into the boiler is preheated by flue gases. The paper presents the boiler economizer mathematical model with distributed parameters, which can be used to simulate its operation. The developed mathematical model makes it possible to determine temperatures of the tube and working medium of the boiler economizer. In addition, the non-linear mathematical model of the entire boiler allows to analyze the influence of ash fouling of individual boiler heating surfaces on th

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