Article ID Journal Published Year Pages File Type
4633053 Applied Mathematics and Computation 2009 9 Pages PDF
Abstract

In this paper we study properties of numerical solutions of Burger’s equation. Burgers’ equation is reduced to the heat equation on which we apply the Douglas finite difference scheme. The method is shown to be unconditionally stable, fourth order accurate in space and second order accurate in time. Two test problems are used to validate the algorithm. Numerical solutions for various values of viscosity are calculated and it is concluded that the proposed method performs well.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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