A High-Order Accurate Numerical Algorithm for the Numerical Solution of Burgers’ Equation

Abstract

In this study, a high accurate numerical solution of the Burgers' equation is obtained. For this, the collocation method based on quintic B-spline functions for space discretization and the fourth-order single step method for time discretization are used. In order to see the efficiency of the algorithm, a test problem with an analytical solution is discussed and compared with the numerical solution obtained.