Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions
dc.contributor.author | Kaya, Doğan | |
dc.contributor.author | Gülbahar, Sema | |
dc.contributor.author | Yokuş, Asif | |
dc.contributor.author | Gülbahar, Mehmet | |
dc.date.accessioned | 2020-11-21T15:55:41Z | |
dc.date.available | 2020-11-21T15:55:41Z | |
dc.date.issued | 2018 | en_US |
dc.department | İstanbul Ticaret Üniversitesi | en_US |
dc.description.abstract | The 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.doi | 10.1186/s13662-018-1531-0 | en_US |
dc.identifier.issn | 1687-1847 | |
dc.identifier.scopus | 2-s2.0-85042764192 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.uri | https://doi.org/10.1186/s13662-018-1531-0 | |
dc.identifier.uri | https://hdl.handle.net/11467/4036 | |
dc.identifier.wos | WOS:000426747600001 | en_US |
dc.identifier.wosquality | Q1 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springeropen | en_US |
dc.relation.ispartof | Advances in Difference Equations | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Collocation method | en_US |
dc.subject | Fractional combined Korteweg-de Vries and modified Korteweg-de Vries equation | en_US |
dc.subject | Lorentz-Minkowski space | en_US |
dc.title | Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions | en_US |
dc.type | Article | en_US |
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