NUMERICAL SOLUTION OF COUPLED FRACTIONAL BURGER’S EQUATION

In this paper, we use the homotopy analysis method to obtain an analytical solution for the fractional coupled Burgers’ equation. This method yields an approximate solution that exhibits convergence across a range of values for both the convergence control parameter, denoted as ℏ , and the parameter α . Optimal ℏ value, which minimizes the error determined by the residual, is identified. We subsequently conducted a comparative analysis of the results obtained through this method with solutions obtained from diverse numerical approach.