New numerical solutions of fractional-order Korteweg-de Vries equation

被引：25
|
作者：
Inc, Mustafa [1 ,2 ]
Parto-Haghighi, Mohammad [3 ]
Akinlar, Mehmet Ali [4 ]
Chu, Yu-Ming [5 ,6 ]
机构：
[1] Firat Univ, Dept Math, Elazig, Turkey
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Univ Bonab, Dept Math, Bonab, Iran
[4] Yildiz Tech Univ, Dept Engn Math, Istanbul, Turkey
[5] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[6] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
RESULTS IN PHYSICS | 2020年 / 19卷
关键词：
Time fractional Korteweg de Vries equation; Fictitious time integration; Group preserving scheme (GPS); Caputo derivative; GROUP PRESERVING SCHEME; KLEIN-GORDON EQUATIONS; GROUP SHOOTING METHOD; DIFFUSION; MODELS;
D O I：
10.1016/j.rinp.2020.103326
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving. Proposed method converts the KdV to a new system of equations which is approximately solved by a semi-discretization numerical scheme. Caputo type fractional-order derivative operators are used. We apply the method to some specific cases of the KdV equation. Computational results indicate that the method gives new and highly efficient solutions of the KdV equation.
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页数：5
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