Operator splitting method for numerical solution of modified equal width equation

Basit Öğe Kaydı
dc.authoridCelikkaya, ihsan/0000-0002-8684-5922
dc.authorwosidCelikkaya, ihsan/ABB-1186-2020
dc.contributor.authorCelikkaya, Ihsan
dc.date.accessioned2024-08-04T21:00:08Z
dc.date.available2024-08-04T21:00:08Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this manuscript, numerical solutions of the equations in the form of u(t) = Au + B(u) have been sought for, where A and B are linear and nonlinear operators, respectively. The modified equal width (MEW) equation has been converted into two sub problems. Then, the sub problems were solved according to the Strang splitting scheme by applying the cubic B-spline collocation finite element method. Thus, more accurate results of the equation MEW have been obtained than those non-splitting users. In order to test the accuracy and efficiency of the present method; single soliton, interaction of two solitons and Maxwellian initial condition pulse problems have been considered. Moreover, the stability analysis of each sub problem has been investigated by von-Neumann analysis method.en_US
dc.identifier.doi10.32513/tbilisi/1569463234
dc.identifier.endpage67en_US
dc.identifier.issn1875-158X
dc.identifier.issn1512-0139
dc.identifier.issue3en_US
dc.identifier.startpage51en_US
dc.identifier.urihttps://doi.org/10.32513/tbilisi/1569463234
dc.identifier.urihttps://hdl.handle.net/11616/103805
dc.identifier.volume12en_US
dc.identifier.wosWOS:000488049100004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTbilisi Centre Math Scien_US
dc.relation.ispartofTbilisi Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectoperator splitting methoden_US
dc.subjectsolitonen_US
dc.subjectfinite element methoden_US
dc.subjectB-splinesen_US
dc.subjectsolitary wavesen_US
dc.titleOperator splitting method for numerical solution of modified equal width equationen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu