Approximate solution of a system of linear integral equations by the Taylor expansion method

Authors:
Y. Huang;M. Fang;X. -F. Li
Affiliations:
Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, People's Republic of China;College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, People's Republic of China;Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, People's Republic of China
Venue:
International Journal of Computer Mathematics
Year:
2009

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Abstract

A simple and efficient approximate technique is developed to obtain the solution to a system of linear integral equations. This technique is based on the Taylor expansion. The method has been successfully applied to determine approximate solutions of a system of Fredholm integral equations and Volterra integral equations of not only the second kind but also the first kind. The mth order approximation of the solution is exact up to a polynomial of degree equal to or less than m. Several illustrative examples are presented to show the effectiveness and accuracy of this method.