  In this paper, a numerical solution of the two dimensional nonlinear coupled
viscous Burgers equation is discussed with the appropriate initial and boundary
conditions using the modified cubic B spline differential quadrature method. In
this method, the weighting coefficients are computed using the modified cubic B
spline as a basis function in the differential quadrature method. Thus, the
coupled Burgers equations are reduced into a system of ordinary differential
equations (ODEs). An optimal five stage and fourth order strong stability
preserving Runge Kutta scheme is applied to solve the resulting system of ODEs.
The accuracy of the scheme is illustrated via two numerical examples. Computed
results are compared with the exact solutions and other results available in
the literature. Numerical results show that the MCB DQM is efficient and
reliable scheme for solving the two dimensional coupled Burgers equation.
