SEMI-ANALYTICAL SOLUTION FOR TWO-DIMENSIONAL COUPLED NONLINEAR BURGERS' EQUATIONS USING HOMOTOPY ANALYSIS METHOD

This study derives a semi-analytical solution for the two-dimensional (2D) coupled nonlinear Burgers' equations using the homotopy analysis method (HAM). Two test problems in a square space domain with different forms of boundary and initials conditions are taken to show the effectiveness of the HAM method. The convergence behavior of the HAM-based solution is shown through the squared residual error approach. It is demonstrated that there is a good match between the HAM-based solution and the exact solution of the problem.