Parametric Quintic Spline for Time–Fractional Burger’s and Coupled Burgers’ Equations

Abstract

In this paper, the solutions of time–fractional Burger’s equation and time–fractional coupled Burgers’ equations are obtained using the parametric quintic spline method with a local truncation error of order eight. Moreover, the stability analysis of the present method is demonstrated using Von–Neumann method. Also, to show the accuracy of this method, some examples with different cases for Burger’s and coupled Burgers’ equations are presented and compared with the previous methods.