Numerical solution of time-fractional coupled Korteweg-de Vries and Klein-Gordon equations by local meshless method

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dc.authoridAhmad, Hijaz/0000-0002-5438-5407
dc.authoridKhan, Muhammad Nawaz/0000-0001-6447-6989
dc.authoridahmad, imtiaz/0000-0002-4023-3293
dc.authoridTHOUNTHONG, Phatiphat/0000-0002-1453-4236
dc.contributor.authorKhan, Muhammad Nawaz
dc.contributor.authorAhmad, Imtiaz
dc.contributor.authorAkgul, Ali
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorThounthong, Phatiphat
dc.date.accessioned2024-12-24T19:24:55Z
dc.date.available2024-12-24T19:24:55Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article provides numerical simulations of the time-fractional coupled Korteweg-de Vries and Klein-Gordon equations via the local meshless collocation method (LMCM) utilising the radial basis functions. The recommended local meshless technique is utilised for the space derivatives of the models whereas Caputo fractional definition is used for time-fractional derivative. Numerical experiments are performed for one-dimensional coupled Korteweg-de Vries and two-dimensional Klein-Gordon equations. In order to verify the efficiency and accuracy of the proposed meshless method, numerical results are compared with exact and numerical techniques reported in recent literature which reveals that the method is computationally attractive and produces better results.
dc.identifier.doi10.1007/s12043-020-02025-5
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85100426748
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s12043-020-02025-5
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6194
dc.identifier.volume95
dc.identifier.wosWOS:000674168600008
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIndian Acad Sciences
dc.relation.ispartofPramana-Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectMeshless collocation method
dc.subjectradial basis functions
dc.subjectcoupled Korteweg-de Vries equations
dc.subjectKlein-Gordon equation
dc.subjectirregular domain
dc.subject02
dc.subject60
dc.subject-x
dc.subject02
dc.subject30
dc.subjectJr
dc.subject02
dc.subject90
dc.subject+p
dc.titleNumerical solution of time-fractional coupled Korteweg-de Vries and Klein-Gordon equations by local meshless method
dc.typeArticle

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