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dc.contributor.authorYokuş, Asıf
dc.date.accessioned2021-10-26T07:49:09Z
dc.date.available2021-10-26T07:49:09Z
dc.date.issued2019-02-01
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.420771tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75749
dc.description.abstractIn this study, the fractional derivative and finite difference operators are analyzed. The time fractional KdV equation with initial condition is considered. Discretized equation is obtained with the help of finite difference operators and used Caputo formula. The inherent truncation errors in the method are defined and analyzed. Stability analysis is explored to demonstrate the accuracy of the method. While doing this analysis, considering conservation law, with the help of using the definition discovered by Lax-Wendroff, von Neumann stability analysis is applied. The numerical solutions of time fractional KdV equation are obtained by using finite difference method. The comparison between obtained numerical solutions and exact solution from existing literature is made. This comparison is highlighted with the graphs as well. Results are presented in tables using the Mathematica software package wherever it is needed.tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.420771tr_TR
dc.subjectFinite difference methodtr_TR
dc.subjectTime fractional KdV equationtr_TR
dc.subjectCaputo formulatr_TR
dc.titleNumerical Solutions of Time Fractional Korteweg--de Vries Equation and Its Stability Analysistr_TR
dc.typeArticletr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.contributor.departmentOthertr_TR
dc.identifier.volume68tr_TR
dc.identifier.issue1tr_TR
dc.identifier.startpage353tr_TR
dc.identifier.endpage361tr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.identifier.issn/e-issn2618-6470
dc.contributor.facultyOthertr_TR
dc.description.indexTrdizintr_TR


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