A New Highly Accurate Numerical Scheme for Benjamin-Bona-Mahony-Burgers Equation Describing Small Amplitude Long Wave Propagation

Basit Öğe Kaydı
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridOzer, Sibel/0000-0003-4956-4002
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorKutluay, Selcuk
dc.contributor.authorOzer, Sibel
dc.contributor.authorYagmurlu, Nuri Murat
dc.date.accessioned2024-08-04T20:53:33Z
dc.date.available2024-08-04T20:53:33Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this article, a new highly accurate numerical scheme is proposed and used for solving the initial-boundary value problem of the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation. The BBM-Burgers equation is fully discretized by the Crank-Nicolson type method using the first-order forward finite difference approximation for the derivative in time and the standard second-order central difference approximations for all spatial derivatives. The nonlinear term appearing in the implicit scheme is firstly linearized in terms of a new dependent variable by utilizing the well known Taylor series expansion and then the resulting tri-diagonal linear algebraic equation system is solved by a direct solver method. To test the accuracy and efficiency of the scheme, three experimental test problems are taken into consideration of which the two have analytical solutions and the other one has not an analytical one. The computed results are compared with those of some studies in the literature for the same values of parameters. It is shown that the obtained results from the present method, which is stable and easy-to-use, get closer and closer to the exact solutions when the step sizes refine. This fact is also an other evidence of the accuracy and reliability of the method. Moreover, a low level data storage requirement and easy-to-implement algorithm of the present method can be considered among its notable advantages over other numerical methods. In addition, the unconditionally stability of the present scheme is shown by the von Neumann method.en_US
dc.identifier.doi10.1007/s00009-023-02382-6
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85151132120en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00009-023-02382-6
dc.identifier.urihttps://hdl.handle.net/11616/101259
dc.identifier.volume20en_US
dc.identifier.wosWOS:000959456600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBenjamin-Bona-Mahony-Burgers Equationen_US
dc.subjectcoupled equationen_US
dc.subjectCrank-Nicolson type approachen_US
dc.subjectapproximate solutionen_US
dc.subjectvon Neumann methoden_US
dc.titleA New Highly Accurate Numerical Scheme for Benjamin-Bona-Mahony-Burgers Equation Describing Small Amplitude Long Wave Propagationen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu