NON-POLYNOMIAL CUBIC SPLINE METHOD USED TO FATHOM SINE GORDON EQUATIONS IN 3+1 DIMENSIONS

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dc.authoridalshaikh, noorhan/0009-0006-8916-8206
dc.authoridAbdullaev, Sherzod/0000-0002-2454-6708
dc.authoridASAD, JIHAD/0000-0002-6862-1634
dc.contributor.authorSattar, Rabia
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorPervaiz, Anjum
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdullaev, Sherzod
dc.contributor.authorAlshaikh, Noorhan
dc.date.accessioned2024-12-24T19:30:44Z
dc.date.available2024-12-24T19:30:44Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study contains an algorithmic solution of the Sine Gordon equation in three space and time dimensional problems. For discretization, the central difference formula is used for the time variable. In contrast, space variable x, y, and z are discretized using the non-polynominal cubic spline functions for each. The proposed scheme brings the accuracy of order O(h(2) + k(2) + sigma(2) + iota(2)h(2) + iota(2)k(2) + iota(2)sigma(2)) by electing suitable parametric values. The paper also discussed the truncation error of the proposed method and obtained the stability analysis. Numerical problems are elucidated by this method and compared to results taken from the literature.
dc.identifier.doi10.2298/TSCI2304155S
dc.identifier.endpage3170
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.issue4B
dc.identifier.scopus2-s2.0-85172314196
dc.identifier.scopusqualityQ3
dc.identifier.startpage3155
dc.identifier.urihttps://doi.org/10.2298/TSCI2304155S
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7649
dc.identifier.volume27
dc.identifier.wosWOS:001108597100013
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherVinca Inst Nuclear Sci
dc.relation.ispartofThermal Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSine gordon equation
dc.subject3-D wave equations
dc.subjecttruncation error
dc.subjectnon-polynomial cubic spline function
dc.subjectstability analysis
dc.titleNON-POLYNOMIAL CUBIC SPLINE METHOD USED TO FATHOM SINE GORDON EQUATIONS IN 3+1 DIMENSIONS
dc.typeArticle

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