Numerical simulation of one-dimensional non-viscous Burgers equation by using C and Basic language

Abstract

Numerical solution of one-dimensional non-viscous Burgers equation usually applies the upwind difference method, and it is common to find a solution by this finite difference approximation. As for the analytic solutions of partial differential equations, many books are published recently. However, there are not so many documents for the numerical solutions and methods.Here, we show some exercises and show the program of the C and BASIC language. Based on these results, we want to discuss them about some problems and the future prospects.