Legendre solutions of integral equations with logarithmic kernels

In this paper a finite Legendre expansion is developed to solve linear and nonlinear Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results and comparisons with other methods in the literature are considered.

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 85; no. 1; pp. 53 - 63
Main Authors Khater, A. H., Shamardan, A. B., Callebaut, D. K., Sakran, M. R. A.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.01.2008
Subjects
Error analysis
Integral equations with logarithmic kernels
Legendre polynomials
Numerical approximation of solutions
Volterra integral equations
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Summary:In this paper a finite Legendre expansion is developed to solve linear and nonlinear Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results and comparisons with other methods in the literature are considered.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160701324231