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How to Select the Value of the Convergence Parameter in the Adomian Decomposition Method

Lei Lu1,2, Jun-Sheng Duan2,3
School of Management, Fudan University, Shanghai 200433, P.R. China
School of Sciences, Shanghai Institute of Technology, Shanghai 201418, P.R. China
Corresponding author. Email: duanjs@sit.edu.cn; duanjssdu@sina.com

Computer Modeling in Engineering & Sciences 2014, 97(1), 35-52. https://doi.org/10.3970/cmes.2014.097.035

Abstract

In this paper, we investigate the problem of selecting of the convergence parameter c in the Adomian decomposition method. Through the curves of the n-term approximations Φn(t;c) versus c for different specified values of n and t, we demonstrate how to determine the value of c such that the decomposition series has a larger effective region of convergence.

Keywords

Nonlinear differential equation, Solution continuation, Adomian decomposition method, Adomian polynomials.

Cite This Article

Lu, L., Duan, J. (2014). How to Select the Value of the Convergence Parameter in the Adomian Decomposition Method. CMES-Computer Modeling in Engineering & Sciences, 97(1), 35–52.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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