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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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APA Style
Lu, L., Duan, J. (2014). How to select the value of the convergence parameter in the adomian decomposition method. Computer Modeling in Engineering & Sciences, 97(1), 35-52. https://doi.org/10.3970/cmes.2014.097.035
Vancouver Style
Lu L, Duan J. How to select the value of the convergence parameter in the adomian decomposition method. Comput Model Eng Sci. 2014;97(1):35-52 https://doi.org/10.3970/cmes.2014.097.035
IEEE Style
L. Lu and J. Duan, “How to Select the Value of the Convergence Parameter in the Adomian Decomposition Method,” Comput. Model. Eng. Sci., vol. 97, no. 1, pp. 35-52, 2014. https://doi.org/10.3970/cmes.2014.097.035



cc Copyright © 2014 The Author(s). Published by Tech Science Press.
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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