Calculation of finite difference method and differential quadrature method for burgers equation

Abstract

In this study, the finite difference method and differential quadrature method are used to solve the burgers equation. These methods are used to solve some examples of burgers equation. The different number of nodes is used in these methods to investigate in terms of accuracy study. The solutions of these methods are compared in terms of accuracy of the numerical solution. C- language programs have been developed based on the discussion in order to solve the burgers equation. The results of this study are collected to compare the solution in terms of convergence study and the accuracy of the numerical solution. The different number of nodes also can affect the solution in term of accuracy study. Decreasing the number of nodes will increasing the errors of the solution. Generally, from the results between the finite different method and differential quadrature method showed the differential quadrature method is better than the finite different method in terms of accuracy of the numerical solution and in terms of convergence study.