Sinc Collocation Linked with Finite Differences for Korteweg-de Vries Fractional Equation

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