Results 21 to 30 of about 11,407,574 (171)
Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions
Journal of Ocean Engineering and Science, 2018 In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
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A new approach to the heat equation — An application of the decomposition method [PDF]
, 1986 The author's “decomposition method,” (Adomian, “Stochastic Systems,” Academic Press, New York 1983; “Nonlinear Stochastic Operator Equations,” Academic Press, New York, in press; Bellman and Adomian, “Partial Differential Equations—Methods for Their ...
Adomian, G
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A Novel Iterative Scheme and Its Application to Differential Equations
The Scientific World Journal, 2014 The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian ...
Yasir Khan, F. Naeem, Zdeněk Šmarda
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Application of the decomposition method to inversion of matrices [PDF]
, 1985 The decomposition method (G. Adomian, “Stochastic Systems,” Academic Press, New York/London, 1983) is applied to inversion of matrices by ...
Rach, R, Adomian, G
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Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations
Alexandria Engineering Journal, 2018 In the concerned article, we present the numerical solution of nonlinear coupled system of Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform coupled with Adomian decomposition method, an iterative procedure is ...
Amjad Ali, Kamal Shah, Rahmat Ali Khan
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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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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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Journal of Applied Mathematics, 2021 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.
Mohamed Z. Mohamed +4 more
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Modified asymptotic Adomian decomposition method for solving Boussinesq equation of groundwater flow
, 2014 The Adomian decomposition method (ADM) is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be obtained by using only a few terms.
Liu, QQ (reprint author),Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China. +2 more
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Journal of Applied Mathematics, 2013 We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the ...
Lie-jun Xie
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