Analytical solution of the stagnation-point flow in a porous medium by using the homotopy analysis method

In this literature, the analytic solution of the non-linear Brinkman equation for the stagnation-point flow in a porous medium is obtained using the newly developed analytic method, namely the homotopy analysis method (HAM). The analytic results are compared with the numerical solution (NS) and the comparison reveals that a good agreement exists between the NS and HAM solution. Also the convergence of the obtained HAM solution is discussed explicitly. The obtained analytic solution is valid for all values of the dimensionless parameter β as it is shown later in the article.