Non-polynomial Cubic Spline Method for Three-Dimensional Wave Equation

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dc.contributor.authorSattar, Rabia
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorPervaiz, Anjum
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:13Z
dc.date.available2024-12-24T19:10:13Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe scientific community has always been showing deep concern towards partial differential equations (PDEs) and to approximate its numerical solution. This research proposes a non-polynomial cubic spline-based numerical technique for approximating the three-dimensional (3D) wave equation with Dirichlet boundary conditions. The proposed method develops an algebraic scheme for 3D wave equation which can be solved for different spatial and temporal levels. The suggested method provides a three-time level scheme with higher accuracy of order O(h8+ k8+ ?8+ ?2h2+ ?2k2+ ?2?2) by electing appropriate parameter values involved in the spline function. The stability analysis of the suggested numerical technique has been examined and numerical solution of some selected problems are included to exhibit the validity of the proposed method. Numerical results of the test problems are prepared through tables and graphs to demonstrate the effectiveness of the presented work. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.doi10.1007/s40819-023-01607-2
dc.identifier.issn2349-5103
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85175298576
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-023-01607-2
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4009
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectNon-polynomial cubic spline function
dc.subjectStability analysis
dc.subjectThree-dimensional (3D) wave equations
dc.subjectTruncation error
dc.titleNon-polynomial Cubic Spline Method for Three-Dimensional Wave Equation
dc.typeArticle

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