An IMEX approach assembled with Radial Basis Function-Finite Difference (RBF-FD) method for numerical solution of Zakharov-Kuznetsov Modified Equal Width (ZKMEW) equation with power law nonlinearity arising in wave phenomena

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dc.authorid0000-0002-6655-3543
dc.contributor.authorOruç, Ömer
dc.date.accessioned2025-02-22T14:08:51Z
dc.date.available2025-02-22T14:08:51Z
dc.date.issued2025
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis study deals with numerical solutions of Zakharov-Kuznetsov modified equal width (ZKMEW) equation with power law nonlinearity which is used in modeling of wave phenomena. The ZKMEW equation is a two-dimensional (2D) nonlinear partial differential equation and for numerical solution of it we first use an implicit-explicit (IMEX) backward differentiation formula for discretization of temporal variable and obtain a semi-discrete system. The IMEX approach treats nonlinear terms explicitly and linear terms implicitly. In this way, we avoid of solving nonlinear system of equations which is a big advantage in sense of computational load. Then space variables of the semi-discrete system are discretized via a local meshless radial basis function-finite difference (RBF-FD) method. For RBF-FD method we employ polyharmonic splines (PHS) which are free of shape parameters. One advantage of using RBF-FD method is its local property. Owing to the local property of the RBF-FD method sparse matrices are used which is an advantage in sense of execution time. Some numerical simulations are carried out and comparisons with the generalized finite difference method and space-time cloud method are performed. Stability of the proposed method is examined numerically. Obtained results verify efficiency and accuracy of the proposed method.en_US
dc.identifier.citationOruç, Ö. (2025). An IMEX Approach Assembled with Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Zakharov–Kuznetsov Modified Equal Width (ZKMEW) Equation with Power Law Nonlinearity Arising in Wave Phenomena. International Journal of Computational Methods, 2450084.
dc.identifier.doi10.1142/S0219876224500841
dc.identifier.issn0219-8762
dc.identifier.issn1793-6969
dc.identifier.scopus2-s2.0-85214293817en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1142/S0219876224500841
dc.identifier.urihttps://hdl.handle.net/11468/29679
dc.identifier.wosWOS:001390413700001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOruç, Ömer
dc.institutionauthorid0000-0002-6655-3543
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Computational Methodsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250222
dc.subjectIMEX time integrationen_US
dc.subjectLocal meshless methoden_US
dc.subjectRBF-FDen_US
dc.subjectnumerical solution of ZKMEW equationen_US
dc.titleAn IMEX approach assembled with Radial Basis Function-Finite Difference (RBF-FD) method for numerical solution of Zakharov-Kuznetsov Modified Equal Width (ZKMEW) equation with power law nonlinearity arising in wave phenomenaen_US
dc.typeArticleen_US

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