Legendre polynomial solutions of high-order linear Fredholm integro-differential equations

Simple item page
dc.contributor.authorYalçinbaş S.
dc.contributor.authorSezer M.
dc.contributor.authorSorkun H.H.
dc.date.accessioned2024-07-22T08:21:38Z
dc.date.available2024-07-22T08:21:38Z
dc.date.issued2009
dc.description.abstractIn this study, a Legendre collocation matrix method is presented to solve high-order Linear Fredholm integro-differential equations under the mixed conditions in terms of Legendre polynomials. The proposed method converts the equation and conditions to matrix equations, by means of collocation points on the interval [-1, 1], which corresponding to systems of linear algebraic equations with Legendre coefficients. Thus, by solving the matrix equation, Legendre coefficients and polynomial approach are obtained. Also examples that illustrate the pertinent features of the method are presented and by using the error analysis, the results are discussed. © 2009 Elsevier Inc.
dc.identifier.DOI-ID10.1016/j.amc.2008.12.090
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18701
dc.language.isoEnglish
dc.subjectComputational mechanics
dc.subjectError analysis
dc.subjectIntegrodifferential equations
dc.subjectCollocation points
dc.subjectFredholm integro-differential equations
dc.subjectHigh orders
dc.subjectLegendre
dc.subjectLegendre coefficients
dc.subjectLegendre polynomials and series
dc.subjectMatrix equations
dc.subjectMatrix methods
dc.subjectPolynomial approaches
dc.subjectSystems of linear algebraic equations
dc.subjectPolynomial approximation
dc.titleLegendre polynomial solutions of high-order linear Fredholm integro-differential equations
dc.typeArticle

Files

Collections

Scopus Koleksiyonu