Relevant bibliographies by topics / Laplace Adomian Decomposition Method (LADM)

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Academic literature on the topic 'Laplace Adomian Decomposition Method (LADM)'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Laplace Adomian Decomposition Method (LADM)"

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Abdy, Muhammad, Syafruddin Side, and Reza Arisandi. "Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas." Journal of Mathematics, Computations, and Statistics 1, no. 2 (2019): 206. http://dx.doi.org/10.35580/jmathcos.v1i2.9243.

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Abstrak. Artikel ini membahas tentang penerapan Metode Dekomposisi Adomian Laplace (LADM) dalam menentukan solusi persamaan panas. Metode Dekomposisi Adomian Laplace merupakan metode semi analitik untuk menyelesaikan persamaan diferensial nonlinier yang mengkombinasikan antara tranformasi Laplace dan metode dekomposisi Adomian. Berdasarkan hasil perhitungan, metode dekomposisi Adomian Laplace dapat menghampiri penyelesaian persamaan diferensial biasa nonlinear.Kata kunci: Metode Dekomposisi Adomian Laplace, Persamaan Diferensial Parsial, Persamaan PanasAbstract. This study discusses the applic
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Shior, M. M., B. C. Agbata, U. Karim, Marcos Salvatierra, D. J. Yahaya, and S. Abraham. "Approximate Solution of Fractional Order of Partial Differential Equations Using Laplace-Adomian Decomposition Method in MATLAB." International Journal of Mathematics and Statistics Studies 12, no. 3 (2024): 61–70. http://dx.doi.org/10.37745/ijmss.13/vol12n36170.

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This article presents the application of the Laplace-Adomian Decomposition Method (LADM) for solving partial differential equations (PDEs) in the context of heat conduction and wave propagation. The LADM combines Laplace transform and Adomian decomposition to approximate solutions to PDEs efficiently in MATLAB. The procedure involves transforming the PDE into simpler differential equations, which are then solved iteratively using the Adomian decomposition method. The advantages of LADM include simplicity, flexibility, and applicability to a wide range of PDEs. We demonstrate the effectiveness
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Tsai, P. Y., and C. K. Chen. "A New Algorithm on the Solutions of Forced Convective Heat Transfer in a Semi-Infinite Flat Plate." Journal of Mechanics 27, no. 1 (2011): 63–69. http://dx.doi.org/10.1017/jmech.2011.8.

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ABSTRACTIn this paper, a new algorithm is proposed to solve the velocity and temperature fields in the thermal boundary layer flow over a semi-infinite flat plate. Both the flow and heat transfer solutions are calculated accurately by the Laplace Adomian decomposition method, Padé approximant and the optimal design concept. The Laplace Adomian decomposition method (LADM) is a combination of the numerical Laplace transform algorithm with the Adomian decomposition method (ADM). A hybrid method of the LADM combined with the Padé approximant, named the LADM-Padé approximant technique, is introduce
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M. Bahgat, Mohamed S. "Numerical Solution of Coupled System of Nonlinear Partial Differential Equations Using Laplace-Adomian Decomposition Method." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 8 (2016): 6530–44. http://dx.doi.org/10.24297/jam.v12i8.5075.

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Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The results obtained by LADM are compared with those obtained by standard and modified Adomian Decomposition Methods. The behavior of the numerical solution is shown through graphs. It is observed that LADM is an effective method with high accuracy with less number of components.
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Mohamed, Mohamed Z., Tarig M. Elzaki, Mohamed S. Algolam, Eltaib M. Abd Elmohmoud, and Amjad E. Hamza. "New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations." Journal of Applied Mathematics 2021 (March 19, 2021): 1–10. http://dx.doi.org/10.1155/2021/6662645.

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The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations. We execute a comparatively newfangled analytical mechanism that is denoted by the modified Laplace variational iteration method (MLVIM) and Laplace Adomian decomposition method (LADM). The effect of the numerical results indicates that the double approximation is handy to execute and reliable when applied. It is shown that numerical solutions are gained in the form of approximately series
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Richard, Metomou, and Weidong Zhao. "Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation." Journal of Applied Mathematics 2021 (March 5, 2021): 1–19. http://dx.doi.org/10.1155/2021/6626236.

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The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can see the Sumudu Adomian decomposition method (SADM) and the Laplace Adomian decomposition method (LADM); the SADM and LADM provide similar results. The SADM and LADM methods have been applied to solve nonlinear PDE, but the solution has small convergence radius for some PDE. We perform the SADM solution by using the function P L / M · called do
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Agbata, B. C., W. Obeng-Denteh, J. Amoah-Mensah, et al. "Numerical solution of fractional order model of measles disease with double dose vaccination." Dutse Journal of Pure and Applied Sciences 10, no. 3b (2024): 202–17. http://dx.doi.org/10.4314/dujopas.v10i3b.19.

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Measles remains a significant public health concern globally, despite the availability of effective vaccines. In this study, we develop a mathematical model of measles disease that integrates the impact of double dose vaccination and utilize the Laplace Adomian Decomposition Method (LADM) as a numerical approach to obtain solutions for the fractional order differential equations governing the model. The model accounts for the dynamics of susceptible, infected, and vaccinated individuals, considering the transmission dynamics of measles in a population with varying vaccination coverage. LADM, c
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Ujlayan, Amit, and Mohit Arya. "Approximate Solution of Riccati Differential Equation via Modified Greens Decomposition Method." Defence Science Journal 70, no. 4 (2020): 419–24. http://dx.doi.org/10.14429/dsj.70.14467.

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Riccati differential equations (RDEs) plays important role in the various fields of defence, physics, engineering, medical science, and mathematics. A new approach to find the numerical solution of a class of RDEs with quadratic nonlinearity is presented in this paper. In the process of solving the pre-mentioned class of RDEs, we used an ordered combination of Green’s function, Adomian’s polynomials, and Pade` approximation. This technique is named as green decomposition method with Pade` approximation (GDMP). Since, the most contemporary definition of Adomian polynomials has been used in GDMP
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Appadu, Appanah Rao, and Abey Sherif Kelil. "On Semi-Analytical Solutions for Linearized Dispersive KdV Equations." Mathematics 8, no. 10 (2020): 1769. http://dx.doi.org/10.3390/math8101769.

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The most well-known equations both in the theory of nonlinearity and dispersion, KdV equations, have received tremendous attention over the years and have been used as model equations for the advancement of the theory of solitons. In this paper, some semi-analytic methods are applied to solve linearized dispersive KdV equations with homogeneous and inhomogeneous source terms. These methods are the Laplace-Adomian decomposition method (LADM), Homotopy perturbation method (HPM), Bernstein-Laplace-Adomian Method (BALDM), and Reduced Differential Transform Method (RDTM). Three numerical experiment
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Senjaya Budiman, Manzo, and Daniel Salim. "A note on Laplace Adomian decomposition method on a linear problem." Hilbert Journal of Mathematical Analysis 2, no. 1 (2024): 026–33. http://dx.doi.org/10.62918/hjma.v2i1.16.

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In last two decades, Laplace Adomian Decomposition Method (LADM) is vastly used to solve non-linear (or even fractional order) differential equations. The method approaches the solution with the partial sums of function series. However, it is not easy to show that the limit of the function series is the exact solution of the problem. In this article, we consider a simple problem such as homogenous second-order linear ordinary differential equation with constant coefficients. We prove analytically that the LADM gives the right exact solution to the considered problem.
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Dissertations / Theses on the topic "Laplace Adomian Decomposition Method (LADM)"

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Ladeia, Cibele Aparecida. "A equação de transferência radiativa condutiva em geometria cilíndrica para o problema do escape do lançamento de foguetes." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/152738.

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Nesta contribuição apresentamos uma solução para a equação de transferência radiativa condutiva em geometria cilíndrica. Esta solução é aplicada para simular a radiação e campo de temperatura juntamente com o transporte de energia radiativa e condutiva proveniente do escape liberado em lançamentos de foguetes. Para este fim, discutimos uma abordagem semianalítica reduzindo a equação original, que é contínua nas variáveis angulares, numa equação semelhante ao problema SN da transferência radiativa condutiva. A solução é construída usando um método de composição por transformada de Laplace e o m
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Pa-YeeTsai and 蔡培毅. "Applications of the Hybrid Laplace Adomian Decomposition Method to Nonlinear Physical Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/08208509569007412239.

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博士<br>國立成功大學<br>機械工程學系碩博士班<br>98<br>The Laplace Adomian decomposition method (LADM) combines the numerical Laplace transform algorithm and the Admoian decomposition method (ADM). The truncated series solution solved by the LADM diverges rapidly as the applicable domain increases. However, the Pad? approximant extends the domain of the truncated series solution to obtain better accuracy and convergence. In this paper, a hybrid method of the LADM combined with the Pad? approximant, named the hybrid Laplace Adomian decomposition method is proposed to solve the nonlinear physical systems to demons
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Yu-ShengChang and 張又升. "Applications of the Hybrid Laplace Adomian Decomposition Method to Nonlinear Heat Transfer Problems." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/02149396582383943770.

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碩士<br>國立成功大學<br>機械工程學系<br>102<br>When we try to solve physical problems ,we usually build math models to approach our problems. Nonlinear terms are very common both in physical problems and math models, but they will complicate the solving process. In this paper , we use LADM method to solve nonlinear heat transfer problems. We have two cases , nonlinear fin system and nonlinear continuously moving plates system. Some parameters like Convection, radiation, slope of the thermal conductivity-temperature curve , slope of the surface emissivity-temperature curve are discussed. We found when dimens
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Po-WeiChen and 陳柏維. "Applications of the Hybrid Laplace Adomian Decomposition Method to Falkner-Skan wedge flow." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/62792525754510336574.

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Chih-YiDeng and 鄧智宜. "Apply Laplace Adomian Decomposition Method to the Vibration Analysis of linear and nonlinear Beams." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/pztjje.

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碩士<br>國立成功大學<br>機械工程學系<br>105<br>In this study, the Laplace Adomian decomposition method (LADM) is used to analyze the free vibration and force vibration problems of uniform and non-uniform beams. First, to obtain the natural frequency and mode shape of the Euler-Bernoulli beam, we transformed the governing equation to the algebraic equation by LADM and used simple algebraic operations on the frequency equations afterwards. Moreover, investigating the effect of the natural frequency of the dynamic system by physical parameters including translational spring constant, rotational spring constant
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Chia-HsiangTseng and 曾嘉祥. "Apply Laplace Adomian Decomposition Method to Vibration and Large Deflection Analysis of Nonlinear Beam." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/nxfbss.

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碩士<br>國立成功大學<br>機械工程學系<br>107<br>In this study, the Laplace Adomian decomposition method (LADM) was used to analyze free vibration of a nonlinear beam and large deflection of a cantilever beam. The relationship between structure parameters and natural frequencies or deflection was also figured out. In the first section, the characteristic/eigenvalue equation and mode shape functions of a general beam were analytically derived by LADM. After that, effects of different physical parameters including geometry formula, translational or rotational spring constant, magnitude of axial tensile force, a
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Yu-TingChen and 陳郁婷. "Laplace Adomian Decomposition Method for Analyses of Heat Transfer and Thermal Stress with the Periodic Base Temperature in Variable Profile Annular Fin." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/63014832418698761590.

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碩士<br>國立成功大學<br>機械工程學系<br>104<br>In this article, the Laplace Adomian decomposition method (LADM) is used to solve the heat transfer and thermal stress analyses in variable profile annular fin. The heat transfer problem including the parameters of temperature-dependent conduction and convection, and the constant radiation coefficient, with the periodic temperature as boundary condition as well. Solving the temperature distribution in annular fin, and find out the saturated vapor pressure which is under the temperature meantime, to solve the thermal stress distribution, including the radial str
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Yu-ChenWu and 吳昱成. "Applications of the Hybrid Laplace Adomian Decomposition Method to Non-Newtonian Power-Law Fluid Falkner-Skan Boundary Layer Flow and Heat Transfer Under Magnetic Field Effect." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/uxbd84.

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碩士<br>國立成功大學<br>機械工程學系<br>107<br>The problem of magnetohydrodynamic flow, heat transfer and entropy generation rate for a non-Newtonian power-law fluid past a stationary wedge in the presence of a transverse magnetic field is analyzed. The Falkner-Skan equation is applied for the wedge flow. The magnetic field density and surface temperature of the wedge are assumed to vary with the distance from the origin. The governing equations are transformed to nonlinear ordinary differential equations by similarity transformation and several physical parameters related to flow behavior of power-law flui
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Book chapters on the topic "Laplace Adomian Decomposition Method (LADM)"

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Vennila, B., N. Nithya, and M. Kabilan. "Outcome of a Magnetic Field on Heat Transfer of Carbon Nanotubes (CNTs)-Suspended Nanofluids by Shooting Type Laplace–Adomian Decomposition Method (LADM)." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-8496-8_19.

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Bhattacharya, P., and S. Pal. "Solution of insect population model by using Laplace Adomian decomposition method." In Computational Science and Engineering. CRC Press, 2016. http://dx.doi.org/10.1201/9781315375021-33.

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Bakodah, H. O., and B. S. Kashkari. "New Modification of Laplace–Adomian Decomposition Method for the Fifth-Order KdV Equation." In International Conference on Mathematical Sciences and Statistics 2013. Springer Singapore, 2014. http://dx.doi.org/10.1007/978-981-4585-33-0_9.

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R. Singh, Twinkle. "Study on Approximate Analytical Method with Its Application Arising in Fluid Flow." In Porous Fluids - Advances in Fluid Flow and Transport Phenomena in Porous Media. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.97548.

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This chapter is about the, Variational iteration method (VIM); Adomian decomposition method and its modification has been applied to solve nonlinear partial differential equation of imbibition phenomenon in oil recovery process. The important condition of counter-current imbibition phenomenon as vi=−vn, has been considered here main aim, here is to determine the saturation of injected fluid Sixt during oil recovery process which is a function of distance ξ and time θ, therefore saturation Si is chosen as a dependent variable while xandt are chosen as independent variable. The solution of the p
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Baba Abdullahi, Mohammed, and Amiru Sule. "A Study on Numerical Solution of Fractional Order microRNA in Lung Cancer." In PID Control for Linear and Nonlinear Industrial Processes. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.111387.

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The foremost cause of death resulting from cancer is lung cancer. From the statistics, 2.09 million new cases and 1.7 million deaths from lung cancer were estimated. In this chapter, the analytical solution of the concerned model was studied with help of the Laplace-Adomian Decomposition Method. To obtain the model’s numerical scheme of fractional differential equations, the Caputo fractional derivative operator of order α∈01 is used. To find an approximate solution to a system of nonlinear fractional differential equations, the Laplace-Adomian Decomposition Method is used. Numerical simulatio
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Conference papers on the topic "Laplace Adomian Decomposition Method (LADM)"

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Yousef, Hamood Mohammed, and Ahmad Izani Ismail. "Appling Laplace Adomian decomposition method for delay differential equations with boundary value problems." In PROCEEDINGS OF THE 13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5012187.

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Šmarda, Zdeněk. "Laplace adomian decomposition method for solving fractional delay differential equations with variable coefficients." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162173.

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Edeki, S. O., O. F. Imaga, and G. O. Akinlabi. "Solution of a one-dimensional heat equation with axial symmetry via Laplace Adomian decomposition method." In 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE). IEEE, 2020. http://dx.doi.org/10.1109/macise49704.2020.00063.

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Yakubu, Aisha Aliyu, Farah Aini Abdullah, and Mohammed Baba Abdullahi. "Analysis and numerical solution of fractional order control of COVID-19 using Laplace Adomian decomposition method expansion." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0075649.

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Yousef, Hamood M., and A. I. B. MD Ismail. "Application of the Laplace Adomian decomposition method for solution system of delay differential equations with initial value problem." In PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): Mathematical Sciences as the Core of Intellectual Excellence. Author(s), 2018. http://dx.doi.org/10.1063/1.5041569.

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