Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions

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dc.contributor.authorKaya, Dogan
dc.contributor.authorGulbahar, Sema
dc.contributor.authorYokus, Asif
dc.contributor.authorGulbahar, Mehmet
dc.date.accessioned2024-12-24T19:29:55Z
dc.date.available2024-12-24T19:29:55Z
dc.date.issued2018
dc.departmentSiirt Üniversitesi
dc.description.abstractThe exact solution of fractional combined Korteweg-de Vries and modified Korteweg-de Vries (KdV-mKdV) equation is obtained by using the expansion method. To investigate a geometrical surface of the exact solution, we choose . The collocation method is applied to the fractional combined KdV-mKdV equation with the help of radial basis for . and error norms are computed with the Mathematica program. Stability is investigated by the Von-Neumann analysis. Instable numerical solutions are obtained as the number of node points increases. It is shown that the reason for this situation is that the exact solution contains some degenerate points in the Lorentz-Minkowski space.
dc.identifier.doi10.1186/s13662-018-1531-0
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-85042764192
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13662-018-1531-0
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7309
dc.identifier.wosWOS:000426747600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeropen
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCollocation method
dc.subjectFractional combined Korteweg-de Vries and modified Korteweg-de Vries equation
dc.subjectLorentz-Minkowski space
dc.titleSolutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions
dc.typeArticle

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