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Application of the Adomian Decomposition Method (ADM) to Solving the Systems of Partial Differential Equations [PDF]
International Journal of Applied Mathematics and Theoretical Physics, 2021 Solving systems of partial differential equations (linear or nonlinear) with dirchelet boundary conditions has rarely made use of the Adomian decompositional method. The aim of this paper is to obtain the exact solution of some systems of linear and nonlinear partial differential equations using the adomian decomposition method.After having generated ...
Justin Mouyedo Loufouilou +2 more
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Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method. [PDF]
Int J Appl Comput Math, 2022 This paper studies a system of nonlinear fractional differential equations (FDEs) with deviated arguments. Many linear and nonlinear problems are faced in the real-life.
Afreen A, Raheem A.
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Exploring fractional-order new coupled Korteweg-de Vries system via improved Adomian decomposition method. [PDF]
PLoS OneThis paper aims to extend the applications of the projected fractional improved Adomian Decomposition method (fIADM) to the fractional order new coupled Korteweg-de Vries (cKdV) system.
Arshad M +4 more
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Journal of Applied Mathematics and Physics, 2018 In this paper, the ADM method is used to construct the solution of the singular fourth-order partial differential equation.
Béyi Boukary +3 more
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Journal of Mathematics Research, 2018 In this study, we consider the wave equation with cubic damping with its initial conditions. Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to this equation. Then, the solution yielding the given initial conditions is gained.
Moussa BAGAYOGO +2 more
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Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation
Journal of Applied Mathematics, 2021 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
Metomou Richard, Weidong Zhao
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INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENTIn this work, the numerical solution of the equations arising in simple harmonic motion and free oscillation is found using the Adomian decomposition method (ADM). For comparison analysis, the Haar wavelet method (HWM) is used. Some numerical examples have been performed to illustrate the accuracy of the present work.
Irfan Ul Haq
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Adomian decomposition method for first order PDEs with unprescribed data
Alexandria Engineering Journal, 2021 In this paper we like to explore the full power of Adomian decomposition method (ADM), specially its symbolic capability. We will demonstrate the standard ADM and ADM with integration factor to compute explicit closed form solutions of first order scalar
Tzon-Tzer Lu, Wei-Quan Zheng
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New modifications of ADM with applications in kind of PDEs [PDF]
MethodsXThis paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations.
Eman Mohmmed Nemah +2 more
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Application of Adomian decomposition method to nonlinear systems
Advances in Difference Equations, 2020 In this paper, we study the Adomian decomposition method (ADM for short) including its iterative scheme and convergence analysis, which is a simple and effective technique in dealing with some nonlinear problems.
Wenjin Li, Yanni Pang
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