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http://dx.doi.org/10.14317/jami.2013.661

THE ITERATED PROJECTION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH CAUCHY KERNEL

Mennouni, Abdelaziz (Department of Mathematics, University of Mohamed el Bachir el Ibrahimi Bordj BouArreridj)

Publication Information

Journal of applied mathematics & informatics / v.31, no.5_6, 2013 , pp. 661-667 More about this Journal

Abstract

In this paper we propose the iterated projection method for the approximate solution of an integro-differential equations with Cauchy kernel in $$L^2([-1,1$ $]$ $,\mathbb{C})$$ using Legendre polynomials. We prove the convergence of the method. A system of linear equations is to be solved. Numerical examples illustrate the theoretical results.

Keywords

Cauchy kernel; integro-differential equations; projection method;

Citations & Related Records

Reference

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