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Solution of Quadratic Integral Equations by the Adomian Decomposition Method
School of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guang Dong 526061, P.R. China
School of Sciences, Shanghai Institute of Technology, Shanghai 201418, P.R. China
Corresponding author. Email: duanjssdu@sina.com;duanjs@sit.edu.cn
Computer Modeling in Engineering & Sciences 2013, 92(4), 369-385. https://doi.org/10.3970/cmes.2013.092.369
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Quadratic integral equations are a class of nonlinear integral equations having many important uses in engineering and sciences. In this work we display an efficient application of the Adomian decomposition method to the quadratic integral equations of Volterra type. The analytical approximate solution obtained can be directly inserted into the original equation to verify the accuracy and estimate the error with a computing software. Four numerical examples demonstrate the efficiency of the method.Keywords
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APA Style
Fu, S., Wang, Z., Duan, J. (2013). Solution of quadratic integral equations by the adomian decomposition method. Computer Modeling in Engineering & Sciences, 92(4), 369-385. https://doi.org/10.3970/cmes.2013.092.369
Vancouver Style
Fu S, Wang Z, Duan J. Solution of quadratic integral equations by the adomian decomposition method. Comput Model Eng Sci. 2013;92(4):369-385 https://doi.org/10.3970/cmes.2013.092.369
IEEE Style
S. Fu, Z. Wang, and J. Duan, “Solution of Quadratic Integral Equations by the Adomian Decomposition Method,” Comput. Model. Eng. Sci., vol. 92, no. 4, pp. 369-385, 2013. https://doi.org/10.3970/cmes.2013.092.369
Copyright © 2013 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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