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Reduced Polynomials and Their Generation in Adomian Decomposition Methods
College of Science, Shanghai Institute of Technology, Shanghai, 201418, PR China. Corresponding author. E-mail: duanjssdu@sina.com
School of Mathematics, Baotou Teachers College, Baotou, 014030, PR China.
Computer Modeling in Engineering & Sciences 2010, 60(2), 139-150. https://doi.org/10.3970/cmes.2010.060.139
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Adomian polynomials are constituted of reduced polynomials and derivatives of nonlinear operator. The reduced polynomials are independent of the form of the nonlinear operator. A recursive algorithm of the reduced polynomials is discovered and its symbolic implementation by the software Mathematica is given. As a result, a new and convenient algorithm for the Adomian polynomials is obtained.Keywords
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APA Style
Duan, J., Guo, A. (2010). Reduced polynomials and their generation in adomian decomposition methods. Computer Modeling in Engineering & Sciences, 60(2), 139-150. https://doi.org/10.3970/cmes.2010.060.139
Vancouver Style
Duan J, Guo A. Reduced polynomials and their generation in adomian decomposition methods. Comput Model Eng Sci. 2010;60(2):139-150 https://doi.org/10.3970/cmes.2010.060.139
IEEE Style
J. Duan and A. Guo, "Reduced Polynomials and Their Generation in Adomian Decomposition Methods," Comput. Model. Eng. Sci., vol. 60, no. 2, pp. 139-150. 2010. https://doi.org/10.3970/cmes.2010.060.139
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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