Subdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium

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dc.contributor.authorSafia Malik
dc.contributor.authorSyeda Tehmina Ejaz
dc.contributor.authorAli Akgül
dc.date.accessioned2025-03-19T07:49:38Z
dc.date.available2025-03-19T07:49:38Z
dc.date.issued2025-03-12
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThis paper deals with a new numerical technique for solving the second order linear homogeneous and inhomogeneous hyperbolic partial differential equation with variable and constant coefficients. In this technique, the time derivative is described using a finite difference technique, while the collocation method based on subdivision scheme is used to interpose the space dimension. The convergence and error estimation of the proposed technique along with comparison have been presented in this paper. In terms of computational efficiency, our technique yields a solution that is identical to existing works. Furthermore, the applicability and effectiveness of proposed technique are illustrated with numerical examples.
dc.identifier.citationMalik, S., Ejaz, S. T., & Akgül, A. (2025). Subdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium. Boletín de la Sociedad Matemática Mexicana, 31(2), 1-17.
dc.identifier.doi10.1007/s40590-025-00731-x
dc.identifier.issn1405-213X
dc.identifier.issn2296-4495
dc.identifier.issue2
dc.identifier.urihttps://doi.org/10.1007/s40590-025-00731-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8572
dc.identifier.volume31
dc.identifier.wosWOS:001443278600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofBoletín de la Sociedad Matemática Mexicana
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectWave equation
dc.subjectNon-uniform medium
dc.subjectHyperbolic equation
dc.subjectPartial differential equations
dc.titleSubdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium
dc.typejournal-article
oaire.citation.issue2
oaire.citation.volume31

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