Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridBashan, Ali/0000-0001-8500-493X
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBashan, Ali/R-6644-2018
dc.contributor.authorBashan, Ali
dc.contributor.authorYagmurlu, N. Murat
dc.contributor.authorUcar, Yusuf
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:48:56Z
dc.date.available2024-08-04T20:48:56Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe aim of this study is to improve the numerical solution of the modified equal width wave equation. For this purpose, finite difference method combined with differential quadrature method with Rubin and Graves linearizing technique has been used. Modified cubic B-spline base functions are used as base function. By the combination of two numerical methods and effective linearizing technique high accurate numerical algorithm is obtained. Three main test problems are solved for various values of the coefficients. To observe the performance of the present method, the error norms of the single soliton problem which has analytical solution are calculated. Besides these error norms, three invariants are reported. Comparison of the results displays that our algorithm produces superior results than those given in the literature.en_US
dc.identifier.doi10.1002/num.22547
dc.identifier.endpage706en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85091609147en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage690en_US
dc.identifier.urihttps://doi.org/10.1002/num.22547
dc.identifier.urihttps://hdl.handle.net/11616/99557
dc.identifier.volume37en_US
dc.identifier.wosWOS:000573068900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectB-splinesen_US
dc.subjectdifferential quadrature methoden_US
dc.subjectfinite difference methoden_US
dc.subjectmodified equal width equationen_US
dc.subjectsolitary waveen_US
dc.titleFinite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equationen_US
dc.typeArticleen_US

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