Hermite series solutions of linear fredholm integral equations

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dc.contributor.authorYalçinbaş S.
dc.contributor.authorAynigül M.
dc.date.accessioned2024-07-22T08:20:34Z
dc.date.available2024-07-22T08:20:34Z
dc.date.issued2011
dc.description.abstractA matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Hermite series approximation. The method is based on first taking the truncated Hermite 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 Hermite coefficients. In addition, some equations considered by other authors are solved in terms of Hermite polynomials and the results are compared. Copyright © Association for Scientific Research.
dc.identifier.DOI-ID10.3390/mca16020497
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18214
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectLinear systems
dc.subjectMatrix algebra
dc.subjectPolynomials
dc.subjectAlgebraic equations
dc.subjectFredholm integral equations
dc.subjectHermite polynomials
dc.subjectHermite series
dc.subjectMatrix equations
dc.subjectMatrix forms
dc.subjectMatrix methods
dc.subjectSecond kinds
dc.subjectIntegral equations
dc.titleHermite series solutions of linear fredholm integral equations
dc.typeArticle

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