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Journal of Applied Mathematics and Computing

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01-10-2013 | Original Research

Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem

Authors: Bijaya Laxmi Panigrahi, Gnaneshwar Nelakanti

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2013

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Abstract

In this paper, we consider Galerkin method for weakly singular Fredholm integral equations of the second kind and its corresponding eigenvalue problem using Legendre polynomial basis functions of degree ≤n. We obtain the convergence rates for the approximated solution and iterated solution in weakly singular Fredholm integral equations of the second kind and also obtain the error bounds for the approximated eigenelements in the corresponding eigenvalue problem. We illustrate our results with numerical examples.

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Title: Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem
Authors: Bijaya Laxmi Panigrahi
Gnaneshwar Nelakanti
Publication date: 01-10-2013
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2013
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-013-0658-0

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