Open Access

ARTICLE

Solution of Quadratic Integral Equations by the Adomian Decomposition Method

Shou-Zhong Fu¹, Zhong Wang¹, Jun-Sheng Duan^1,2,3

1 School of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guang Dong 526061, P.R. China
2 School of Sciences, Shanghai Institute of Technology, Shanghai 201418, P.R. China
3 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

Abstract

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.

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Keywords

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