Approximate solutions of linear Fredholm integral equations system with variable coefficients

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Date

2013

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Journal ISSN

Volume Title

Publisher

Association for Scientific Research

Abstract

In this paper, a new approximate method has been presented to solve the linear Fredholm integral equations system (FIEs). The technique is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown functions in the resulting equation and later, transforming to a matrix equation. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to Show this capability and robustness, some systems of FIEs are solved by the presented method in order to obtain their approximate solutions.

Description

Keywords

Linear equations , Matrix algebra , Polynomials , Approximate solution , Fredholm , Linear Fredholm integral equations system , System of integral equations , System of linear algebraic equations , Taylor coefficients , Taylor polynomials and series , Variable coefficients , Integral equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17517

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