Modified approximation for the KdV-Burgers equation

Abstract

In this paper, a new finite difference called the Restrictive Taylor approximation (RTA) is implemented to find numerical solution of KdV-Burgers, this method is a new explicit method. The accuracy of the method is assessed in terms of the absolute error which is very close to zero and the error norms L-2, L-infinity. (c) 2014 Elsevier Inc. All rights reserved.