HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES

Abstract In this paper, the homotopy perturbation method (HPM) is considered for finding approximate solutions of two-dimensional viscous flow. This technique provides a sequence of functions which converges to the exact solution of the problem. The HPM does not need a small parameters in the equations, but; the perturbation method depends on small parameter assumption and the obtained results. In most cases, it ends up with a non-physical result, so homotopy perturbation method overcomes completely the above shortcomings. HPM is very convenient and effective and the solutions is compared with the exact solution.