Sinc approximation of solution of integro-differential equation

dc.contributor.authorBelakroum, Kheireddine
dc.contributor.authorBelakroum, Dounia
dc.date.accessioned2024-07-12T20:49:30Z
dc.date.available2024-07-12T20:49:30Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractMany mathematical models of complex processes may be posed as integro-differential equations. Different numerical methods have been proposed and developed in recent years, such as quadrature method, collocation method, Galerkin method, expansion method and product-integration method. The application of the Sinc-Galerkin method to an approximate solution of integro-differential equations were discussed in this study. The method is based on approximating functions and their derivatives by using the Whittaker cardinal function in order to determine the approximate solutions. Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used and the results determined from the method are compared with the exact solutions. The results are illustrated both in table and graphically to show the rapid convergence and exceptional accuracy of the method.en_US
dc.identifier.citationBelakroum, D. ve Belakroum, K. (2019). Sinc approximation of solution of integro-differential equation. International Conference of Mathematical Sciences (ICMS 2019). s. 128.en_US
dc.identifier.endpage129en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage128en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2179
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01544
dc.subjectSinc-galerkin methodsen_US
dc.subjectWhittaker cardinal functionen_US
dc.subjectConform applicationen_US
dc.subjectIntegro-differential equationsen_US
dc.titleSinc approximation of solution of integro-differential equationen_US
dc.typeArticle
dspace.entity.typePublication

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