Bell polynomial approach for the solutions of Fredholm integro-differential equations with variable coefficients

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dc.contributor.authorYıldız G.
dc.contributor.authorTınaztepe G.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:08:05Z
dc.date.available2024-07-22T08:08:05Z
dc.date.issued2020
dc.description.abstractIn this article, we approximate the solution of high order linear Fredholm integro-differential equations with a variable coefficient under the initial-boundary conditions by Bell polynomials. Using collocation points and treating the solution as a linear combination of Bell polynomials, the problem is reduced to linear system of equations whose unknown variables are Bell coefficients. The solution to this algebraic system determines the approximate solution. Error estimation of approximate solution is done. Some examples are provided to illustrate the performance of the method. The numerical results are compared with the collocation method based on Legendre polynomials and the other two methods based on Taylor polynomials. It is observed that the method is better than Legendre collocation method and as accurate as the methods involving Taylor polynomials. © 2020 Tech Science Press. All rights reserved.
dc.identifier.DOI-ID10.32604/cmes.2020.09329
dc.identifier.issn15261492
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14251
dc.language.isoEnglish
dc.publisherTech Science Press
dc.rightsAll Open Access; Gold Open Access
dc.subjectBells
dc.subjectBoundary conditions
dc.subjectIntegrodifferential equations
dc.subjectLinear systems
dc.subjectNumerical methods
dc.subjectApproximate solution
dc.subjectCollocation points
dc.subjectFredholm integro-differential equations
dc.subjectLegendre polynomials
dc.subjectLegendre-collocation method
dc.subjectLinear combinations
dc.subjectLinear system of equations
dc.subjectVariable coefficients
dc.subjectPolynomials
dc.titleBell polynomial approach for the solutions of Fredholm integro-differential equations with variable coefficients
dc.typeArticle

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