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Journal articles on the topic 'FDM method'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Liu, Renwei, Dongjie Wang, Xinyu Zhang, Wang Li, and Bo Yu. "Comparison Study on the Performances of Finite Volume Method and Finite Difference Method." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/596218.

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Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDM with variant mesh densities, discrete forms, and treatments of boundary condition. It is indicated that FVM is superior to FDM from the perspective of accuracy, stability of convection term, robustness, and calculation efficiency. Particularly ,when the mesh

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PORKHUN, A. P., V. G. BARABANOV, V. S. FOMIN, and E. A. DYACHENKO. "FDM PRINTER RESONANCE FREQUENCY ATTENUATION METHOD." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY, no. 3 (298) (March 2025): 74–77. https://doi.org/10.35211/1990-5297-2025-3-298-74-77.

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The paper considers a study on the topic of resonant frequencies when printing a 3D printer using the technology of modeling the method of layer-by-layer deposition, and minimizing their impact on product quality.

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O. W, Lawal, Erinle-Ibrahim L. M, and Okunoye O. S. "A Comparison of the Semi Analytical and Numerical Method in Solving the Problem of Magnetohydrodynamics Flow of a Third Grade Fluid between Two Parallel Plates." Momona Ethiopian Journal of Science 14, no. 2 (2022): 149–62. http://dx.doi.org/10.4314/mejs.v14i2.4.

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The main purpose of this study is to compare a semi-analytical method and numerical method namely the homotopy perturbation method (HPM) and finite difference method (FDM) respectively. These methods were employed for solving the nonlinear problem of the magnetohydrodynamic (MHD) couette flow of third-grade fluid between the two parallel plates. The comparison was made between a solution of HPM and FDM against a solution obtained from regular perturbation and the results are tabulated. From a computational viewpoint, it is revealed that the HPM is more reliable and efficient than FDM. Also, th

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Czyz, Marcin, Hesham Radwan, Jian Y. Li, Christopher G. Filippi, Tomasz Tykocki, and Michael Schulder. "Fractal Analysis May Improve the Preoperative Identification of Atypical Meningiomas." Neurosurgery 80, no. 2 (2016): 300–308. http://dx.doi.org/10.1093/neuros/nyw030.

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Abstract BACKGROUND: There is no objective and readily accessible method for the preoperative determination of atypical characteristics of a meningioma grade. OBJECTIVE: To evaluate the feasibility of using fractal analysis as an adjunctive tool to conventional radiological techniques in visualizing histopathological features of meningiomas. METHODS: A group of 27 patients diagnosed with atypical (WHO grade II) meningioma and a second group of 27 patients with benign (WHO grade I) meningioma were enrolled in the study. Preoperative brain magnetic resonance (MR) studies (T1-wieghted, post-gadol

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Bommaraju, C., R. Marklein, and P. K. Chinta. "Optimally Accurate Second-Order Time-Domain Finite-Difference Scheme for Acoustic, Electromagnetic, and Elastic Wave Modeling." Advances in Radio Science 3 (May 12, 2005): 175–81. http://dx.doi.org/10.5194/ars-3-175-2005.

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Abstract. Numerical methods are extremely useful in solving real-life problems with complex materials and geometries. However, numerical methods in the time domain suffer from artificial numerical dispersion. Standard numerical techniques which are second-order in space and time, like the conventional Finite Difference 3-point (FD3) method, Finite-Difference Time-Domain (FDTD) method, and Finite Integration Technique (FIT) provide estimates of the error of discretized numerical operators rather than the error of the numerical solutions computed using these operators. Here optimally accurate ti

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Long, Jingjunjiao, Hamideh Gholizadeh, Jun Lu, Craig Bunt, and Ali Seyfoddin. "Application of Fused Deposition Modelling (FDM) Method of 3D Printing in Drug Delivery." Current Pharmaceutical Design 23, no. 3 (2017): 433–39. http://dx.doi.org/10.2174/1381612822666161026162707.

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Three-dimensional (3D) printing is an emerging manufacturing technology for biomedical and pharmaceutical applications. Fused deposition modelling (FDM) is a low cost extrusion-based 3D printing technique that can deposit materials layer-by-layer to create solid geometries. This review article aims to provide an overview of FDM based 3D printing application in developing new drug delivery systems. The principle methodology, suitable polymers and important parameters in FDM technology and its applications in fabrication of personalised tablets and drug delivery devices are discussed in this rev

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Gębura, Andrzej, Jerzy Borowski, Bogdan Pietnoczko, Jan Darowski, Mieczysław Pigłas, and Ewelina Siekierska. "Analysis of measuring apparatus errors using the FAM-C and FDM-A methods." Journal of KONBiN 50, no. 4 (2020): 217–36. http://dx.doi.org/10.2478/jok-2020-0083.

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Abstract The article discusses the errors of the electronic measuring apparatus built at AFIT using the FAM-C and FDM-A methods, dedicated to monitoring the technical condition of aircraft power units. The basic components and variants of the use of the built electronic apparatus are presented: the optimization of the selection of construction parameters and the change of the error level in the selection of various types of construction of a given system. The influence of external factors on errors of the measuring system was also described, including changes in the amplitude of the electrical

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Gupta, Dr A. R. "Comparative analysis of Rectangular Plate by Finite element method and Finite Difference Method." International Journal for Research in Applied Science and Engineering Technology 9, no. 9 (2021): 1397–98. http://dx.doi.org/10.22214/ijraset.2021.38152.

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Abstract: Plates are commonly used to support lateral or vertical loads. Before the design of such a plate, analysis is performed to check the stability of plate for the proposed load. There are several methods for this analysis. In this research, a comparative analysis of rectangular plate is done between Finite Element Method (FEM) and Finite Difference Method (FDM). The plate is considered to be subjected to an arbitrary transverse uniformly distributed loading and is considered to be clamped at the two opposite edges and free at the other two edges. The Finite Element Method (FEM) is a num

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Lee, Chaeyoung, Jisang Lyu, Eunchae Park, et al. "Super-Fast Computation for the Three-Asset Equity-Linked Securities Using the Finite Difference Method." Mathematics 8, no. 3 (2020): 307. http://dx.doi.org/10.3390/math8030307.

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In this article, we propose a super-fast computational algorithm for three-asset equity-linked securities (ELS) using the finite difference method (FDM). ELS is a very popular investment product in South Korea. There are one-, two-, and three-asset ELS. The three-asset ELS is the most popular financial product among them. FDM has been used for pricing the one- and two-asset ELS because it is accurate. However, the three-asset ELS is still priced using the Monte Carlo simulation (MCS) due to the curse of dimensionality for FDM. To overcome the limitation of dimension for FDM, we propose a syste

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Kamarudin, Nurzatulshima, Nik Mawar Hanifah Nik Hassan, Mohd Mokhtar Muhamad, et al. "Unveiling Collaborative Trends in Fuzzy Delphi Method (FDM) Research: A Co-Authorship Bibliometrics Study." International Journal of Computational Thinking and Data Science 2, no. 1 (2024): 1–20. http://dx.doi.org/10.37934/ctds.2.1.120.

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The Fuzzy Delphi Method (FDM) employs fuzzy logic to address uncertainty and ambiguity in expert judgments, facilitating consensus in complex decisions. Recent years have witnessed a surge in FDM publications, indicating its increasing popularity as a versatile decision-making tool across various domains, owing to its adept handling of uncertainty and complexity. However, there remains a limited understanding of collaborative dynamics among researchers in this field. This research aims to bridge this gap by examining co-authorship patterns and trends in FDM research literature, contributing to

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Nurzatulshima Kamarudin, Nik Mawar Hanifah Nik Hassan, Mohd Mokhtar Muhamad, et al. "Unveiling Collaborative Trends in Fuzzy Delphi Method (FDM) Research: A Co-Authorship Bibliometrics Study." International Journal of Advanced Research in Computational Thinking and Data Science 2, no. 1 (2024): 1–20. https://doi.org/10.37934/ctds.2.1.120a.

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The Fuzzy Delphi Method (FDM) employs fuzzy logic to address uncertainty and ambiguity in expert judgments, facilitating consensus in complex decisions. Recent years have witnessed a surge in FDM publications, indicating its increasing popularity as a versatile decision-making tool across various domains, owing to its adept handling of uncertainty and complexity. However, there remains a limited understanding of collaborative dynamics among researchers in this field. This research aims to bridge this gap by examining co-authorship patterns and trends in FDM research literature, contributing to

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Singh, Pushpendra, Shiv Dutt Joshi, Rakesh Kumar Patney, and Kaushik Saha. "The Fourier decomposition method for nonlinear and non-stationary time series analysis." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2199 (2017): 20160871. http://dx.doi.org/10.1098/rspa.2016.0871.

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for many decades, there has been a general perception in the literature that Fourier methods are not suitable for the analysis of nonlinear and non-stationary data. In this paper, we propose a novel and adaptive Fourier decomposition method (FDM), based on the Fourier theory, and demonstrate its efficacy for the analysis of nonlinear and non-stationary time series. The proposed FDM decomposes any data into a small number of ‘Fourier intrinsic band functions’ (FIBFs). The FDM presents a generalized Fourier expansion with variable amplitudes and variable frequencies of a time series by the Fouri

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Denisov, S. V., V. E. Lyalin, and R. O. Sultanov. "Comparison of the Current Tubes Method with Normal Numerical Methods with the Two-Dimensional Filtration of the Marked Liquid." Intellekt. Sist. Proizv. 16, no. 3 (2018): 129. http://dx.doi.org/10.22213/2410-9304-2018-3-129-135.

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В качестве широко используемого численного метода решения уравнений без учета дисперсионного члена был выбран метод конечных объемов (finite volume method или FVM). В работе представлено введение в суть метода применительно к области гидродинамики и его сравнение с другими численными методами. Метод конечных объемов первоначально развивался как особая формулировка метода конечных разностей (finite difference method или FDM). Показано, что для реализации метода конечных объемов может использоваться базис как метода конечных разностей (FDM), так и метода конечных элементов (finite element method

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V. Chengal, Reddy, S. Kavitha, T. Nishkala, and Basha S. M. Jameel. "Multi objective optimization of 3D printing process using multi-attribute decision making methods." i-manager's Journal on Mechanical Engineering 12, no. 2 (2022): 40. http://dx.doi.org/10.26634/jme.12.2.18562.

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Fused deposition modeling (FDM) is one of the additive manufacturing (AM) methods widely used in many divisions, especially medical implants and aerospace, due to capabilities to build complex 3D objects and geometries. However, quality and dimensional accuracy of the FDM parts are significantly influenced by the various FDM process parameters including filament wire material. In the present work, new filament wire material Thermoplastic Polyurethane (TPU) was utilized to produce FDM parts. Hence, deciding the optimum process parameters is very critical to produce the FDM parts with good surfa

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Kılınç, Ahmet Çağrı, Ali Aydın Göktaş, Özgür Yasin Keskin, Serhan Köktaş, and Kadir Cihan Tekin. "Comparison of wear and mechanical properties of cast and 3D printed CuSn10 bronze alloy." Materials Testing 65, no. 5 (2023): 764–73. http://dx.doi.org/10.1515/mt-2022-0443.

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Abstract This paper aims to provide a comparison between properties of CuSn10 bronze alloy produced by two methods: FDM (fused deposition modelling) and casting. Wear behavior, mechanical performance and microstructure of CuSn10 alloy produced by FDM and casting methods were determined and compared. 3D printed parts were sintered at 875 °C for 5 h and casting was done at 1200 °C. The amount of porosity was determined by the metallographic cross-sectional examination. Vicker’s hardness, wear and tensile properties of samples were determined. As a result, the porosity value of the CuSn10 alloy p

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Novakova-Marcincinova, Ludmila, and Jozef Novak-Marcincin. "Testing of ABS Material Tensile Strength for Fused Deposition Modeling Rapid Prototyping Method." Advanced Materials Research 912-914 (April 2014): 370–73. http://dx.doi.org/10.4028/www.scientific.net/amr.912-914.370.

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In paper are presented information about materials used for production of models by Fused Deposition Modeling (FDM) rapid prototyping technology. In today's rapid prototyping technologies the initial state of building material can be in solid, liquid or powder state. The current range materials include plastic, nylon, wax, resins, metals and ceramics. In FDM are mainly used as basic materials ABS - Acrylonitrile Butadiene Styrene, polyamide, polycarbonate, polyethylene and polypropylene. Main part of the paper is focused on experimental testing of Acrylonitrile Butadiene Styrene materials real

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Başhan, Ali. "A mixed methods approach to Schrödinger equation: Finite difference method and quartic B-spline based differential quadrature method." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 9, no. 2 (2019): 223–35. http://dx.doi.org/10.11121/ijocta.01.2019.00709.

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The present manuscript include, finite difference method and quartic B-spline based differential quadrature method (FDM-DQM) to obtain the numerical solutions for the nonlinear Schr¨odinger (NLS) equation. For this purpose, firstly Schrödinger equation has been converted into coupled real value differential equations and then they have been discretized using special type of classical finite difference method namely, Crank-Nicolson scheme. After that, Rubin and Graves linearization techniques have been utilized and differential quadrature method has been applied. So, partial differential equati

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Liu, Yijian, Ming Chen, and Jihong Chen. "Practical Nozzle Temperature Control Method for Robot FDM Printing System." Computer and Information Science 12, no. 3 (2019): 21. http://dx.doi.org/10.5539/cis.v12n3p21.

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Fused Deposition Modeling (FDM) technology in 3D printing has beendeveloped for many years. In this paper, a robot FDM 3D printingsystem is proposed and the nozzle temperature control issue isfocused primarily. The temperature measurement adopts a data driven modeling method andthe parameters of the measurement model are trained by the particle swarm optimization algorithm. A practical temperature control method is presented in which thetemperature control of nozzle is divided into two periods. Duringthe temperature flying period, the heating voltage is givenaccording to the current temperatur

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Carrell, John, Garrett Gruss, and Elizabeth Gomez. "Four-dimensional printing using fused-deposition modeling: a review." Rapid Prototyping Journal 26, no. 5 (2020): 855–69. http://dx.doi.org/10.1108/rpj-12-2018-0305.

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Purpose This paper aims to provide a review of four-dimensional (4D) printing using fused-deposition modeling (FDM). 4D printing is an emerging innovation in (three-dimensional) 3D printing that encompasses active materials in the printing process to create not only a 3D object but also a 3D object that can perform an active function. FDM is the most accessible form of 3D printing. By providing a review of 4D printing with FDM, this paper has the potential in educating the many FDM 3D printers in an additional capability with 4D printing. Design/methodology/approach This is a review paper. The

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Choi, Bong Hak, Woo Jung Kim, Chong Du Cho, Si Young Kwak, and Cheong Kil Choi. "FDM/FEM Hybrid Method with a Systematic Field Data Conversion Procedure for Thermal Stress Analysis in Casting Process." Key Engineering Materials 326-328 (December 2006): 1205–8. http://dx.doi.org/10.4028/www.scientific.net/kem.326-328.1205.

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Noticeably in casting and heat treatment process, computational methods are commonly engaged to predict process and mechanical characteristics such as solidification time, cooling speed, hardness and residual stress, in which analyzing thermo-mechanical coupled process necessitates such heat transfer, microstructure transformation, and stress. This paper proposes a FDM/FEM hybrid method for thermal stress analysis in casting process; taking advantage of each computational method, we use both FDM and FEM to analyze thermal stress. We use FDM to predict temperature distribution and microstructur

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Zieja, Mariusz, Andrzej Gębura, Andrzej Szelmanowski, and Bartłomiej Główczyk. "Non-Invasive Monitoring of the Technical Condition of Power Units Using the FAM-C and FDM-A Electrical Methods." Sustainability 13, no. 23 (2021): 13329. http://dx.doi.org/10.3390/su132313329.

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This article presents the selected results of analytical and structural work conducted at the Air Force Institute of Technology (pl. ITWL) in the field of building a measuring apparatus for non-invasive monitoring of the technical condition of aircraft power units. Presented innovative FAM-C and FDM-A methods allow for observation of frequency modulation parameters as well as identification and diagnostic classification of particular mechanical subassemblies supplying the on-board generator and thus enable non-invasive monitoring of technical condition of the aircraft power unit and the aircra

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THALIB, REHANA, MAHARANI A. BAKAR, SEE G. BIN, LEE Y. YEE, YONG S. XIA, and NORIZAN MOHAMED. "HYBRID FDM-STABILIZED LANCZOS-TYPE IN SOLVING PDE PROBLEMS." Journal of Mathematical Sciences and Informatics 1, no. 1 (2021): 11–24. http://dx.doi.org/10.46754/jmsi.2021.12.002.

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This study investigates the combination of finite difference method (FDM) and the stabilized Lanczos method to solve various partial differential equation (PDE) problems. This combination is wrapped in the algorithms called hybrid FDMRMEIEMLA and hybrid FDM-RLMinRes. FDM is the discretization method which converts the PDEs into algebraic formula, whereas both RMEIEMLA and RLMinRes are known as the stabilized Lanczos methods in solving largescale problems of SLEs. Their hybrids enable us to find the solutions of PDE problems accurately. There are at least three types of PDEs solved in this stud

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Faria, Geovanne Silva, Andreia Aoyagui Nascimento, and Felipe Pamplona Mariano. "Comparison of the combinations of Fourier pseudospectral method, finite volume method, Euler method and fourth order Runge-Kutta method used to solve Burgers equation." Cuadernos de Educación y Desarrollo 16, no. 13 (2024): e6975. https://doi.org/10.55905/cuadv16n13-100.

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The Burgers equation is a mathematical model frequently used in Computational Fluid Dynamics. It is often employed to test and calibrate numerical methods, as it is one of the few nonlinear transport equations with an exact analytical solution. In this paper, numerical solutions are obtained using the Finite Difference Method (FDM) and the Fourier Pseudospectral Method (FPSM) for spatial discretization, combined with the Euler Method and the Fourth-Order Runge-Kutta Method (FRKM) for time discretization. The results are compared with the exact analytical solution in terms of accuracy, converge

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Gao, Ge, Fan Xu, and Jiangmin Xu. "Parametric Optimization of FDM Process for Improving Mechanical Strengths Using Taguchi Method and Response Surface Method: A Comparative Investigation." Machines 10, no. 9 (2022): 750. http://dx.doi.org/10.3390/machines10090750.

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In the present study, a comparison of two widely used optimization approaches for fused deposition modeling (FDM), that is, Taguchi method in contrast with response surface method (RSM), was investigated. Four operating parameters, namely extrusion temperature, layer thickness, raster width, print speed, and their interaction terms, were identified as control variables with three levels, while tensile strength and compressive strength were selected responses. L27 orthogonal array and face-centered central composite design (FCCCD) were used for the experimental approach for Taguchi and RSM, res

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You, Ying, Zhiqiang Liu, Youqian Liu, et al. "K-Means Module Division Method of FDM3D Printer-Based Function–Behavior–Structure Mapping." Applied Sciences 13, no. 13 (2023): 7453. http://dx.doi.org/10.3390/app13137453.

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Product performance, function, cost, and the level of module generalization are all significantly influenced by product modular design, but different goods require different division indicators and techniques. The purpose of this study is to provide a set of appropriate modular division techniques for FDM 3D printers. This research offers an ecologically friendly module division index and uses module clustering as the module division principle in accordance with the current industrial development trend and the fundamental requirements of FDM 3D printer consumers in the current market. The K-me

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Selvaraju, Jivanya Raj, and Nik Hisamuddin Nik Ab. Rahman. "Determining the New Norm Elements in Emergency Departments in Malaysia During a Pandemic: A Fuzzy Delphi Method." Malaysian Journal of Medical Sciences 31, no. 5 (2024): 241–55. http://dx.doi.org/10.21315/mjms2024.31.5.17.

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Background: Emergency departments (EDs) have had to cope with various pandemics, such as HIN1, Ebola and the currently ongoing COVID-19. This study aimed to determine the elements of the new norm that has introduced changes into healthcare systems, particularly EDs, during the COVID-19 pandemic and to obtain consensus from the experts, the Emergency physicians in EDs across Malaysia. No previous study has been conducted on this topic. Methods: This study used the fuzzy Delphi method (FDM) to acquire expert consensus. There were two phases in this study. The first involved extracting the elemen

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Xu, Haochen. "Analyzing heat transfer in Axial Flux Permanent Magnet electrical machines: A literature review on the discretization methods-FVM and FDM." Theoretical and Natural Science 11, no. 1 (2023): 223–30. http://dx.doi.org/10.54254/2753-8818/11/20230412.

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Axial Flux Permanent Magnet (AFPM) machines have gained significant attention due to their high power density, efficiency, and compact design. However, effective heat transfer analysis is critical for optimizing their performance and reliability. This paper presents a comprehensive literature review on the application of discretization methods, specifically the Finite Volume Method (FVM) and Finite Difference Method (FDM), in the thermal analysis of AFPM machines. The fundamentals of FVM and FDM are briefly explained, followed by an exploration of their applications in AFPM machine thermal ana

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Almutairi, Shahad Saleh Ayad, and Abdulkafi Mohammed Saeed. "A Comparative Study of finite Difference and Galerkin Finite Element Methods for Solving Boundary Value Problems." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5895. https://doi.org/10.29020/nybg.ejpam.v18i2.5895.

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Many applications in engineering cannot be solved analytically, major difficulty in the study of partial differential equations is that it is often impossible to obtain analytical solutions. Therefore, various numerical methods for solving partial differential equations have been proposed by related researchers, such as the finite difference method (FDM), finite element method (FEM), finite volume method (FVM), etc. The earliest is the FDM, which approximates the differential equations by using a local Taylor expansion. The finite element method (FEM) is a numerical technique for solving probl

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N, Obi Chinwe. "Analytical Solution of Steady State Heat Conduction in a Rectangular Plate and Comparison with the Numerical Finite Difference Method." International Journal of Mathematical Research 11, no. 1 (2022): 10–15. http://dx.doi.org/10.18488/24.v11i1.3035.

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The medium of heat conduction is seemingly important in the world today and needs to be well understood. This paper looks at the steady state heat conduction in a rectangular plate characterized by Dirichlet boundary conditions. The steady state heat model is formulated based on some assumptions governing this phenomenon. The model which is an elliptic partial differential equation is solved using both analytic and numerical methods. The separable variable method which is an analytic method gives rise to a closed form solution. A comparative study was made by comparing the accuracy of the Fini

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NGUYEN, V. N., and A. V. DROBOTOV. "AUTOMATIC CONTROL METHOD OF FDM 3D-PRINTERS NOZZLE WEAR." IZVESTIA VOLGOGRAD STATE TECHNICAL UNIVERSITY 8 (291) (August 2024): 55–57. http://dx.doi.org/10.35211/1990-5297-2024-8-291-55-57.

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Durgun, Ismail. "Sheet metal forming using FDM rapid prototype tool." Rapid Prototyping Journal 21, no. 4 (2015): 412–22. http://dx.doi.org/10.1108/rpj-01-2014-0003.

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Purpose – The purpose of this paper is to investigate usage of fused deposition modeling (FDM)-based sheet metal tooling for small lot productions as a real case. FDM-based sheet metal tooling was used for stamping prototype parts for two different materials to evaluate dimensional conformance. Design/methodology/approach – The experimental process of data capture used the following steps: sheet metal parts were stamped and optically scanned at every 10th interval for both DC04 and S355MC material. FDM-based upper and lower dies were optically scanned at 1st, 51st and 101st intervals. Dimensio

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MANDELSHTAM, VLADIMIR A. "ON HARMONIC INVERSION OF CROSS-CORRELATION FUNCTIONS BY THE FILTER DIAGONALIZATION METHOD." Journal of Theoretical and Computational Chemistry 02, no. 04 (2003): 497–505. http://dx.doi.org/10.1142/s0219633603000641.

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Harmonic inversion of Chebyshev correlation and cross-correlation functions by the filter diagonalization method (FDM) is one of the most efficient ways to accurately compute the complex spectra of low dimensional quantum molecular systems. This explains the growing popularity of the FDM in the past several years. Some of its most attractive features are the predictable convergence properties and the lack of adjusting parameters. These issues however are often misunderstood and mystified. We discuss the questions relevant to the optimal choices for the FDM parameters, such as the window size a

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Hu, Huaqing, Ketai He, Tianlin Zhong, and Yili Hong. "Fault diagnosis of FDM process based on support vector machine (SVM)." Rapid Prototyping Journal 26, no. 2 (2019): 330–48. http://dx.doi.org/10.1108/rpj-05-2019-0121.

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Purpose This paper aims to propose a method to diagnose fused deposition modeling (FDM) printing faults caused by the variation of temperature field and establish a fault knowledge base, which helps to study the generation mechanism of FDM printing faults. Design/methodology/approach Based on the Spearman rank correlation analysis, four relative temperature parameters are selected as the input data to train the SVM-based multi-classes classification model, which further serves as a method to diagnose the FDM printing faults. Findings It is found that FDM parts may be in several printing states

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Zhang, Dawei, Zhiyong Li, Shengxue Qin, and Shanling Han. "Optimization of Vibration Characteristics of Fused Deposition Modeling Color 3D Printer Based on Modal and Power Spectrum Method." Applied Sciences 9, no. 19 (2019): 4154. http://dx.doi.org/10.3390/app9194154.

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To improve the accuracy of the Fused Deposition Modeling (FDM) color 3D printer in printing color pieces, the vibration characteristics were studied. Firstly, the models of the FDM color 3D printer were qualitatively simplified by mechanics theory to provide theoretical support for dynamic characteristics of the structure, and the finite element modal analysis was performed by the ANSYS (It is an engineering simulation and 3D design software) Workbench to obtain the natural frequency and mode shape displacement of the FDM color 3D printer. Then, the power spectrum of the vibration signal of th

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Wasif, Khan, and Ahmad Shahbaz. "Comparative analysis of Finite Difference Method (FDM) and Physics-Informed Neural Networks (PINNs)." i-manager’s Journal on Mathematics 13, no. 1 (2024): 27. http://dx.doi.org/10.26634/jmat.13.1.20383.

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In this analysis, the solutions of the Linear and Non-Linear models are explored and compared using two distinct methods: the Finite Difference Method (FDM) and the Physics-Informed Neural Networks (PINNs). Initially, the solution is derived employing the principles of FDM, followed by solving the same problem using the methodology of PINNs. Subsequently, a comparative examination of the solution graphs with the exact solution is conducted.

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Bensafi, Mohammed, Belkacem Draoui, Younes Menni, and Houari Ameur. "A Thermal Conduction Comparative Study Between the FDM and SPH Methods with A Proposed C++ Home Code." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 78, no. 1 (2020): 137–45. http://dx.doi.org/10.37934/arfmts.78.1.137145.

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The heat transfer phenomenon is modeled by the Finite Difference Method (FDM) and the Soothed Particle Hydrodynamic (SPH) approach. The numerical approach under investigation may be used to solve many complex problems of applied mechanics. The Finite Element Method (FEM) is generally used for the Lagrangian description, and the FDM is used for the Eulerian report. However, the SPH method, which is better than other approaches to solve some problems, may be used in many aspects. Numerical details on the SPH method are discussed in this paper, with a focus on its application on the heat equation

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Rozmus, Magdalena, Piotr Dobrzaniecki, Michał Siegmund, and Juan Alfonso Gómez Herrero. "Design with Use of 3D Printing Technology." Management Systems in Production Engineering 28, no. 4 (2020): 283–91. http://dx.doi.org/10.2478/mspe-2020-0040.

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AbstractDynamic development of 3D printing technology contributes to its wide applicability. FDM (Fused Deposition Method) is the most known and popular 3D printing method due to its availability and affordability. It is also usable in design of technical objects – to verify design concepts with use of 3D printed prototypes. The prototypes are produced at lower cost and shorter time comparing to other manufacturing methods and might be used for a number of purposes depending on designed object’s features they reflect. In the article, usability of 3D printing method FDM for designing of technic

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Çavuşoğlu, Semih, and Oktay Sh Mukhtarov. "A new finite difference algorithm for boundary value problems involving transmission conditions." e-Journal of Analysis and Applied Mathematics 2022, no. 1 (2022): 1–13. http://dx.doi.org/10.2478/ejaam-2022-0001.

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Abstract The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. The idea is to replace ordinary or partial derivatives appearing in the boundary-value problem by finite differences that approximate them. There is an extensive literature on this topic. But, as a rule, ordinary differential equations or partial differential equations were studied without an internal singular point and without corresponding transmission conditions. It is our main goal he

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Jyothirmayi, M. "Blind Image Seperation Using Forward Difference Method (FDM)." Signal & Image Processing : An International Journal 2, no. 4 (2011): 121–27. http://dx.doi.org/10.5121/sipij.2011.2410.

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Yang, Zhuoran, Feibo Wang, Yiheng Dun, and Dinghe Li. "Path-Based Discrete Modeling and Process Simulation for Thermoplastic Fused Deposition Modeling Technology." Polymers 17, no. 8 (2025): 1026. https://doi.org/10.3390/polym17081026.

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Fused deposition modeling (FDM), as one of the most widespread and cost-effective additive manufacturing (AM) technologies, faces ongoing challenges in improving the dimensional accuracy and mechanical properties of complex shapes. The repeated heating and cooling of thermoplastic filaments make the FDM parts prone to accumulating warping deformation, which is difficult to predict due to the specificity of material deposition toolpaths. In this study, a path-based discrete modeling and process simulation method was developed for the FDM process. Based on process parameters and material deposit

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Khalifah Mahameru, Rolland Darin, Ahmad Khairul Faizin, M. Danny Pratama Lamura, and Wahyu Dwi Lestari. "Optimization of 3D Printing Parameters for Enhanced PLA Tensile Strength Using the Taguchi Method." International Journal of Automotive and Mechanical Engineering 22, no. 1 (2025): 12035–47. https://doi.org/10.15282/ijame.22.1.2025.7.0924.

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Fused Deposition Modeling (FDM) has significantly advanced in the additive manufacturing of complex geometrical and customized parts, particularly for thermoplastics like Polylactic Acid (PLA). The present study aimed to optimize FDM process parameters to improve the tensile strength of 3D-printed PLA, a crucial mechanical property for various applications. The Taguchi method was employed to systematically and effectively analyze the effects of six key process parameters: nozzle temperature, printing speed, layer thickness, infill density, infill pattern, and orientation. The analysis revealed

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Shao, Dongguo, Haidong Yang, Yi Xiao, and Biyu Liu. "Water quality model parameter identification of an open channel in a long distance water transfer project based on finite difference, difference evolution and Monte Carlo." Water Science and Technology 69, no. 3 (2013): 587–94. http://dx.doi.org/10.2166/wst.2013.753.

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A new method is proposed based on the finite difference method (FDM), differential evolution algorithm and Markov Chain Monte Carlo (MCMC) simulation to identify water quality model parameters of an open channel in a long distance water transfer project. Firstly, this parameter identification problem is considered as a Bayesian estimation problem and the forward numerical model is solved by FDM, and the posterior probability density function of the parameters is deduced. Then these parameters are estimated using a sampling method with differential evolution algorithm and MCMC simulation. Final

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Straszek, Sune P., and Ole F. Pedersen. "Nasal cavity dimensions in guinea pig and rat measured by acoustic rhinometry and fluid-displacement method." Journal of Applied Physiology 96, no. 6 (2004): 2109–14. http://dx.doi.org/10.1152/japplphysiol.00540.2003.

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The purpose of the study was to measure nasal passageway dimensions in guinea pigs and rats by use of acoustic rhinometry (AR) and by a previously described fluid-displacement method (FDM) (Straszek SP, Taagehoej F, Graff S, and Pedersen OF. J Appl Physiol 95: 635–642, 2003) to investigate the potential of AR in pharmacological research with these animals. We measured the area-distance relationships by AR of nasal cavities postmortem in five guinea pigs (Duncan Hartley, 400 g) and five rats (Wistar, 250 g) by using custom-made equipment scaled for the purpose. Nosepieces were made from plastic

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Abdukhamidov, Sardor, and Lobar Chorshanbiyeva. "SOLVING RESEARCH PROBLEMS OF FLOWS IN CHANNELS USING NUMERICAL METHODS." TECHNICAL SCIENCE RESEARCH IN UZBEKISTAN 2, no. 6 (2024): 142–45. https://doi.org/10.5281/zenodo.12548425.

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The study of fluid flow in channels is fundamental in various fields of engineering and environmental sciences. Traditional analytical methods often fall short in handling complex geometries and varying boundary conditions. Numerical methods have thus become indispensable in understanding and predicting fluid dynamics in channels. This paper explores the application of numerical methods in the study of flows in channels, focusing on the Finite Difference Method (FDM), Finite Element Method (FEM), and Computational Fluid Dynamics (CFD). Case studies and simulations are presented to illustrate t

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Parth, Singh Pawar, R. Mishra Dhananjay, and Dumka Pankaj. "Solving First Order Ordinary Differential Equations using Least Square Method: A comparative study." International Journal of Innovative Science and Research Technology 7, no. 3 (2022): 857–64. https://doi.org/10.5281/zenodo.6418458.

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In this research article an attempt has been made to examine the performance of Finite difference method (FDM) and Least square method (LSM) on the solution of first order ordinary differential equations (ODE). Both FDM and LSM are applied on the test problem and the results thus obtained are compared with the exact solution. It has been observed that for third degree basis function the results of LSM very close to the analytical result. On further increasing the degree the improvement in the result is very meagre and N=3 can be considered as the optimum solution for LSM. It has also been obse

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Kim, Hyo-Jin, Seung-Weon Lim, Mi-Kyung Lee, et al. "Which Three-Dimensional Printing Technology Can Replace Conventional Manual Method of Manufacturing Oral Appliance? A Preliminary Comparative Study of Physical and Mechanical Properties." Applied Sciences 12, no. 1 (2021): 130. http://dx.doi.org/10.3390/app12010130.

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Three-dimensional printing technology is widely being adopted in the manufacturing of oral appliances. The purpose of this study was to determine the most suitable method of manufacturing oral appliances by comparing the physical and mechanical properties of various 3D printing methods with the conventional method. Experimental groups consisted of six 3D-printed specimens via FDM, two polyjets, SLS, SLA, and DLP, and the milling methods. The control group consisted of an acrylic resin specimen made by the conventional manual method. The water absorption and solubility, color stability, flexura

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Jennings, Keith, and Patrick J. Naughton. "Similitude Conditions Modeling Geosynthetic-Reinforced Piled Embankments Using FEM and FDM Techniques." ISRN Civil Engineering 2012 (May 8, 2012): 1–16. http://dx.doi.org/10.5402/2012/251726.

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The numerical modelling of geosynthetic-reinforced piled embankments using both the finite element method (FEM) and finite difference method (FDM) are compared. Plaxis 2D (FEM) was utilized to replicate FLAC (FDM) analysis originally presented by Han and Gabr on a unit cell axisymmetric model within a geosynthetic reinforced piled embankment (GRPE). The FEM and FED techniques were found to be in reasonable agreement, in both characteristic trend and absolute value. FEM consistently replicated the FDM outputs for deformational, loading, and load transfer mechanism (soil arching) response within

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Yokus, Asıf, and Hasan Bulut. "On the numerical investigations to the Cahn-Allen equation by using finite difference method." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 9, no. 1 (2018): 18–23. http://dx.doi.org/10.11121/ijocta.01.2019.00561.

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In this study, by using the finite difference method (FDM for short) and operators, the discretized Cahn-Allen equation is obtained. New initial condition for the Cahn-Allen equation is introduced, considering the analytical solution given in Application of the modified exponential function method to the Cahn-Allen equation, AIP Conference Proceedings 1798, 020033 [1]. It is shown that the FDM is stable for the usage of the Fourier-Von Neumann technique. Accuracy of the method is analyzed in terms of the errors in and Furthermore, the FDM is treated in order to obtain the numerical results and

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Deng, Xiaoqiao, Changqing Gu, Bingzheng Xu, Zhuo Li, and Xinlei Chen. "Scattering Analysis of Electromagnetic Materials Using Fast Dipole Method Based on Volume Integral Equation." International Journal of Antennas and Propagation 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/501413.

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The fast dipole method (FDM) is extended to analyze the scattering of dielectric and magnetic materials by solving the volume integral equation (VIE). The FDM is based on the equivalent dipole method (EDM) and can achieve the separation of the field dipole and source dipole, which reduces the complexity of interactions between two far groups (such as groupiand groupj) fromO(NiNj)toO(Ni+Nj), whereNiandNjare the numbers of dipoles in groupiand groupj, respectively. Targets including left-handed materials (LHMs), which are a kind of dielectric and magnetic materials, are calculated to demonstrate

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Tang, Yingying, Yingshuai Li, Yanwei Niu, Hong Chen, and Huang Pingming. "Finite Difference Method in Stress Analysis of Anchorage Zone of Highway Extradosed Cable Stayed Bridge." MATEC Web of Conferences 206 (2018): 01007. http://dx.doi.org/10.1051/matecconf/201820601007.

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With the development and wide application of extradosed cable stayed bridge, an effective method is needed for simulation of the stress distribution in anchorage zone, which plays a vital role in transferring force from the cable to the pylon and diverting the cable direction. Based on the Finite Difference Method (FDM), an efficient and practical method of stress filed simulation was presented in the paper. First, a plane finite element model was established using ABAQUS, to determine the boundary condition for FDM. Based on this, FDM was used to simulate the stress distribution of the concre

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