Article ID Journal Published Year Pages File Type
1708523 Applied Mathematics Letters 2012 4 Pages PDF
Abstract

In this work we present a modified projection method based on Legendre polynomials, for solving integro-differential equations with Cauchy kernel, in L2([−1,1],C)L2([−1,1],C). The proposed numerical procedure leads to solve a system of linear equations. We prove the existence of a solution for the approximate equation, and we perform the error analysis. Numerical examples illustrate the theoretical results.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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