dc.contributor.author Yokuş, Asıf dc.date.accessioned 2021-10-26T07:49:09Z dc.date.available 2021-10-26T07:49:09Z dc.date.issued 2019-02-01 dc.identifier.uri https://doi.org/10.31801/cfsuasmas.420771 tr_TR dc.identifier.uri http://hdl.handle.net/20.500.12575/75749 dc.description.abstract In 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.iso en tr_TR dc.publisher Ankara Üniversitesi tr_TR dc.relation.isversionof 10.31801/cfsuasmas.420771 tr_TR dc.subject Finite difference method tr_TR dc.subject Time fractional KdV equation tr_TR dc.subject Caputo formula tr_TR dc.title Numerical Solutions of Time Fractional Korteweg--de Vries Equation and Its Stability Analysis tr_TR dc.type Article tr_TR dc.relation.journal Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics tr_TR dc.contributor.department Other tr_TR dc.identifier.volume 68 tr_TR dc.identifier.issue 1 tr_TR dc.identifier.startpage 353 tr_TR dc.identifier.endpage 361 tr_TR dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı tr_TR dc.identifier.issn/e-issn 2618-6470 dc.contributor.faculty Other tr_TR dc.description.index Trdizin tr_TR
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