Tau-Homotopy Analysis Method for Solving Micropolar Flow due to a Linearly Stretching of Porous Sheet

A modification of the homotopy analysis method (HAM) for solving a system of nonlinear boundary value problems (BVPs) in semi-infinite domain, micropolar flow due to a linearly stretching of porous sheet, is proposed. This method is based on operational matrix of exponential Chebyshev functions to construct the derivative and product of the unknown function in the matrix form. In addition, by using Tau method the problem converts to algebraic equations to obtain the solution iteratively. In whole we can say, the computer oriented of this method is the most important aspect of it. During comparison between our methods and those previously reported, significant consequences are demonstrated.