The laminar steady flow of an incompressible, viscous fluid near a stagnation point has been computed using the homotopy perturbation method (HPM). Both the cases, (i) two-dimensional flow and (ii) axisymmetric flow, have been considered. A sequence of successive approximations has been obtained in the solution, and the convergence of the sequence is achieved by using the Padé approximants. It is found that there is a complete agreement between the results obtained by the HPM and the exact numerical solution.
Ariel, P. Donald
Homotopy Perturbation Method and the Stagnation Point Flow,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
3, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss3/12