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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.

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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.



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