منابع مشابه
New Applications of Adomian Decomposition Method
Nonlinear coupled partial differential equations are physical problems since it makes the unnecessary very important in a variety of scientific fields. They arise linearization, perturbation problem being solved. in large number of mathematical and engineering In this study, the ADM is extended to problems, especially in fluid mechanics, solid state analytic-numeric simulation for strictly hype...
متن کاملOn the convergence of Adomian decomposition method
Here, a simple method to determine the rate of convergence of Adomian decomposition method is introduced. The proposed method is used to compare between the rate of convergence of standard and modified (proposed by Wazwaz [A.M. Wazwaz, A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput. 128 (2002) 45–57]) Adomian meth...
متن کاملAdomian decomposition method with Chebyshev polynomials
In this paper an efficient modification of the Adomian decomposition method is presented by using Chebyshev polynomials. The proposed method can be applied to linear and non-linear models. The scheme is tested for some examples and the obtained results demonstrate reliability and efficiency of the proposed method. 2005 Elsevier Inc. All rights reserved.
متن کاملA reliable modification of Adomian decomposition method
In this paper we propose a powerful modi®cation of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modi®ed technique is veri®ed through illustrative examples. In all cases of dierential and integral equations, we obtained excellent performance from the modi®ed algorithm. The modi®cation could lead to a promising approach for m...
متن کاملCompare Adomian Decomposition Method and Laplace Decomposition Method for Burger's-Huxley and Burger's-Fisher equations
In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required t...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.06.009