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

dc.contributor.authorKaya, Doğan
dc.contributor.authorGülbahar, Sema
dc.contributor.authorYokuş, Asif
dc.contributor.authorGülbahar, Mehmet
dc.date.accessioned2020-11-21T15:55:41Z
dc.date.available2020-11-21T15:55:41Z
dc.date.issued2018en_US
dc.departmentİstanbul Ticaret Üniversitesien_US
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.en_US
dc.identifier.doi10.1186/s13662-018-1531-0en_US
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-85042764192en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-018-1531-0
dc.identifier.urihttps://hdl.handle.net/11467/4036
dc.identifier.wosWOS:000426747600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCollocation methoden_US
dc.subjectFractional combined Korteweg-de Vries and modified Korteweg-de Vries equationen_US
dc.subjectLorentz-Minkowski spaceen_US
dc.titleSolutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructionsen_US
dc.typeArticleen_US

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