The restrictions and improvement of the Adomian decomposition method

Authors:
Bing-Quan Zhang;Xing-Guo Luo;Qing-Biao Wu
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou, PR China and Department of Mathematics, Zhijiang College of Zhejiang University of Technology, Hangzhou, PR China;Department of Mathematics, Zhejiang University, Hangzhou, PR China;Department of Mathematics, Zhejiang University, Hangzhou, PR China
Venue:
Applied Mathematics and Computation
Year:
2006

Citing 2
Cited 1

A reliable modification of Adomian decomposition method

Applied Mathematics and Computation
A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems

Journal of Computational and Applied Mathematics

Solution of the heat equation with variable properties by two-step Adomian decomposition method

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.48

Visualization

Abstract

The Adomian decomposition method is a creative and effective method for exactly solving functional equations of various kinds. In this paper, the principle of the decomposition method is described, and its restrictions are discussed. Then an improvement is proposed, which overcomes the restrictions and complements the ability of the Adomian decomposition method. Some concrete examples are also studied to illustrate the validity of the improvement.