Sinc collocation linked with finite differences for Korteweg-de Vries Fractional Equation

Kamel Al-Khaled (Jordan university of science and technology)

International Journal of Electrical and Computer Engineering
Vol 10, No 1: February 2020

A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The method combining a finite difference approach in the time-fractional direction, and the Sinc-Collocation in the space direction, where the derivatives are replaced by the necessary matrices, and a system of algebraic equations is obtained to approximate solution of the problem. The numerical results are shown to demonstrate the efficiency of the newly proposed method. Easy and economical implementation is the strength of this method.