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THE ITERATED PROJECTION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH CAUCHY KERNEL
Mennouni, Abdelaziz The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.5
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.
The iterated projection method for integro-differential equations with Cauchy kernel
Abdelaziz Mennouni 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.5
In this paper we propose the iterated projection method forthe approximate solution of an integro-differential equations with Cauchykernel in L2([-1, 1],C) using Legendre polynomials. We prove the convergenceof the method. A system of linear equations is to be solved. Numerical examples illustrate the theoretical results.