Differential Quadrature Method for Numerical Solution of Coupled Viscous Burgers’ Equations

In this paper, the coupled viscous Burgers’ equations have been solved by using the differential quadrature method. Two test problems considered by different researchers have been studied to demonstrate the accuracy and utility of the present method. The numerical results are found to be in good agreement with the exact solutions. The maximum absolute errors L ∞ between the exact solutions and the numerical solutions have been studied. A comparison of the computed solutions is made with those which are already available in the literature. It is shown that the present numerical scheme gives better solutions. Moreover, it is shown that the method can be easily applied to a wide class of higher-dimension, nonlinear partial differential equations with a little modification.