A new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations

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dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:10:36Z
dc.date.available2024-07-22T08:10:36Z
dc.date.issued2017
dc.description.abstractIn this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.
dc.identifier.DOI-ID10.12693/APhysPolA.132.561
dc.identifier.issn05874246
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15294
dc.language.isoEnglish
dc.publisherPolish Academy of Sciences
dc.rightsAll Open Access; Bronze Open Access
dc.subjectBoundary conditions
dc.subjectDifferential equations
dc.subjectIntegrodifferential equations
dc.subjectNumerical methods
dc.subjectPolynomials
dc.subjectCollocation method
dc.subjectLaguerre
dc.subjectLaguerre polynomial
dc.subjectNumerical solution
dc.subjectPartial integro-differential equations
dc.subjectTaylor polynomials
dc.subjectNonlinear equations
dc.titleA new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations
dc.typeConference paper

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