In this paper, we propose a modified cubic B-spline differential quadrature method
(MCB-DQM) to solve three-dimensional (3D) coupled viscous Burger equation with
appropriate initial and boundary conditions. In this method, modified cubic B-spline is
treated as a basis function in the differential quadrature method (DQM) to compute
the weighting coefficients. In this way, the Burger equation is reduced into a system
of ordinary differential equations. An optimal strong stability-preserving Runge–Kutta
(SSP-RK) method is employed to solve the resulting system of ordinary differential
equations. In order to illustrate the accuracy and efficiency of the proposed method, a
numerical problem is considered. From the numerical experiment, it is found that the
computed result is in good agreement with the exact solution. Stability analysis of the
method is also carried out
