Legendre series solutions of Fredholm integral equations

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dc.contributor.authorYalçinbas S.
dc.contributor.authorAynigül M.
dc.contributor.authorAkkaya T.
dc.date.accessioned2024-07-22T08:21:11Z
dc.date.available2024-07-22T08:21:11Z
dc.date.issued2010
dc.description.abstractA matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Legendre series approximation. The method is based on first taking the truncated Legendre series expansions of the functions in equation and then substituting their matrix forms into the equation. Thereby the equation reduces to a matrix equation, which corresponds to a linear system of algebraic equations with unknown Legendre coefficients. In addition, some equations considered by other authors are solved in terms of Legendre polynomials and the results are compared. © Association for Scientific Research.
dc.identifier.DOI-ID10.3390/mca15030371
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18495
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectLinear systems
dc.subjectMatrix algebra
dc.subjectMolecular physics
dc.subjectAlgebraic equations
dc.subjectFredholm integral equations
dc.subjectLegendre coefficient
dc.subjectLegendre polynomials
dc.subjectLegendre series
dc.subjectMatrix equations
dc.subjectMatrix methods
dc.subjectSecond kinds
dc.subjectIntegral equations
dc.titleLegendre series solutions of Fredholm integral equations
dc.typeArticle

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