Results 1 to 10 of about 445 (153)
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 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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ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD [PDF]
Matrix Science Mathematic, 2019 In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear ...
Muhammmad Ikram +2 more
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Approximate solutions of the Fourth-Order Eigenvalue Problem
Journal of Advanced Research in Natural and Applied Sciences, 2022 In this paper, the differential transformation (DTM) and the Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. This fourth order eigenvalue problem has nonstrongly regular boundary conditions.
Derya Arslan
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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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Results in Physics, 2018 A three-dimensional modeling of fish school performed by a modified Adomian decomposition method (ADM) discretized by the finite difference method is proposed.
Yinwei Lin, Jing-Tang Yang, Ruimin Chen
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Journal of Applied and Computational Mechanics, 2015 A new modified Adomian Decomposition Method (ADM) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes.
Mohammad Ghalambaz +2 more
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Results in Nonlinear Analysis, 2021 In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method (MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear ...
Fawziah M. Al-saar, Kirtiwant P. Ghadle
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Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System
Science Journal of University of Zakho, 2019 The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
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