In this study, by means of homotopy perturbation method (HPM) an approximate analytical
solution of the magnetohydrodynamic (MHD) boundary layer flow of an upper-convected …

The aim of this paper was to present a user friendly numerical algorithm based on homotopy
perturbation transform method for solving various linear and nonlinear convection-diffusion …

This paper reports a new analytical solution for 2D Darcy-Brinkman equations in porous
channels filled with porous media subjected to various boundary conditions at walls. The …

We investigate steady thin film flow of an incompressible third-grade fluid through a porous
medium on an inclined plane. The equations of flow through the porous medium are …

In this paper, we apply Homotopy Analysis Transform Method (HATM) for solving various
nonlinear equations. This method is the combined for of the homotopy analysis method and …

This paper is concerned with the traveling wave solutions and analytical treatment of the
infiltration equation. Based on the new technique, namely, the tan (Φ (ξ)/2)-expansion …

In this paper an analytical solution is presented for fully developed flow in a parallel plates
channel under the action of Lorentz force, by use of Homotopy Perturbation Method (HPM) …

An attempt has been made to study the flow of an incompressible conducting elastico-
viscous (Maxwell model) fluid in a parallel flat channel packed with a porous material having …

The porous medium equation with source terms (PMES) is a nonlinear degenerate parabolic
equation and serves as a model of many physical phenomena. To obtain its exact solution is …

In this paper, an analytic technique, namely the Homotopy Analysis Method (HAM) has been
applied for solving Richards' equation which is one of the most well-known equations to …