Homotopy Perturbation Method for the Strongly Nonlinear Darcy-Forscheimer Model

Abstract

We derive approximate analytical solution to the strongly nonlinear Darcy-Forscheimer model through the homotopy perturbation method. The approximate solutions compared well with numerical results computed via the bvp4c routine of Matlab as well as existing results in the literature.

Keywords: Semi-analytical Solution, Homotopy Perturbation, Variational Iteration, Darcy-Forscheimer Model, bvp4c