Application of the reproducing kernel method for solving linear Volterra integral equations with variable coefficients

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorAmoozad, Taher
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorMalkhalifeh, Mohsen Rostamy
dc.date.accessioned2024-05-19T14:46:31Z
dc.date.available2024-05-19T14:46:31Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThis article proposes a new approach for solving linear Volterra integral equations with variable coefficients using the Reproducing Kernel Method (RKM). This method eliminates the need for the Gram-Schmidt process. However, the accuracy of RKM is influenced by various factors, including the selection of points, bases, space, and implementation method. The main objective of this article is to introduce a generalized method based on the Reproducing Kernel, which is successful in solving a special type of singular weakly nonlinear boundary value problems (BVPs). The easy implementation, elimination of the Gram-Schmidt process, fewer calculations, and high accuracy of the present method are interesting. The conformity of numerical results, including tables and figures, with theorems related to error analysis and convergence order, confirms the practicality of the present method.en_US
dc.identifier.doi10.1088/1402-4896/ad1eab
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85183914029en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org10.1088/1402-4896/ad1eab
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5538
dc.identifier.volume99en_US
dc.identifier.wosWOS:001148698500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIop Publishing Ltden_US
dc.relation.ispartofPhysica Scriptaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectReproducing Kernel Methoden_US
dc.subjectLinear Volterra Integral Equationsen_US
dc.subjectConvergence Analysisen_US
dc.subjectError Analysisen_US
dc.titleApplication of the reproducing kernel method for solving linear Volterra integral equations with variable coefficientsen_US
dc.typeArticleen_US

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