Adomian decomposition method by Legendre polynomials

Authors:
Wei-Chung Tien;Cha'o-Kuang Chen
Affiliations:
National Cheng Kung University, Tainan, Taiwan;National Cheng Kung University, Tainan, Taiwan
Venue:
ASM '07 The 16th IASTED International Conference on Applied Simulation and Modelling
Year:
2007

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Abstract

In this paper, an efficient modification of the Adomian decomposition method by using Legendre polynomials is presented. Both linear and non-linear models are suited for the proposed method. Some examples here in are solved by using this method and this paper will demonstrate that the results are more reliable and efficient.