Application of a numerical method using radial basis functions to nonlinear partial differential equations

dc.contributor.authorUddin, Marjan
dc.contributor.authorHaq, Sirajul
dc.date.accessioned2018-05-03T07:49:20Z
dc.date.available2018-05-03T07:49:20Z
dc.date.issued2011
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/281en_US
dc.description.abstractIn this paper, we propose a meshfree method for numerical solution of various classes of partial differential equations (PDEs), such as the Boussinesq system, Drinefel'd-Sokolov-Wilson equations, and Hirota-Satsuma coupled KdV system. The meshfree algorithm is based on scattered data interpolation along with approximating functions known as radial basis functions (RBFs). The meshfree technique does not require space discretization. A set of scattered nodes provided by initial data is used for solution of the problem. Accuracy of the method is estimated in terms of the error norms L?, L_{?}, number of nodes in the domain of influence, time step size, parameter dependent and parameter independent RBFs, the numerical validation for the above mentioned three types of PDEs is given to check performance of the new approach.en_US
dc.identifier.citationUddin, M., Haq, S. (2011). Application of a numerical method using radial basis functions to nonlinear partial differential equations. Selcuk Journal of Applied Mathematics, 12 (1), 77-93.en_US
dc.identifier.endpage93
dc.identifier.issn1302-7980en_US
dc.identifier.startpage77
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10528
dc.identifier.volume12
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectPartial differential equationsen_US
dc.subjectKısmi diferansiyel denklemleren_US
dc.subjectBoussinesq systemen_US
dc.subjectBoussinesq sistemien_US
dc.subjectDrinefel’d-Sokolov-Wilson equationsen_US
dc.subjectDrinefel’d-Sokolov-Wilson denklemlerien_US
dc.titleApplication of a numerical method using radial basis functions to nonlinear partial differential equationsen_US
dc.typeArticleen_US

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