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


Inc M., Parto-Haghighi M., AKINLAR M. A. , Chu Y.

RESULTS IN PHYSICS, vol.19, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2020
  • Doi Number: 10.1016/j.rinp.2020.103326
  • Title of Journal : RESULTS IN PHYSICS

Abstract

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.