The alternating segment difference scheme for Burgers' equation

摘要

We give a class of alternating segment Crank-Nicolson (ASC-N) method for solving the Burgers' Equation. However, the ASC-N method was discussed only for solving the diffusion equation by Zhang B. The basic idea of the method is that the grid points on same time level is divided into a number of the groups, the difference equations of each group can be solved independently. The method is unconditionally stable by analysis of linearization procedure. The numerical examples show that the accuracy of the method is better than that of the method discussed by the other authors. Copyright (c) 2005 John Wiley & Sons, Ltd.