In the paper, we discuss applications of Homotopy Perturbation Method (HPM) related to wave equations subjected non-local conditions and method is applied two test problems in paper. The was introduced by J.-H. He (Homotopy perturbation technique, Computer Methods Applied Mechanics Engineering 178(3-4) (1999), 257 – 262) solutions are matched against exact as literature. results indicate that H...

The equations governing the flow of an electrically conducting, incompressible viscous fluid over an infinite flat plate in the presence of a magnetic field are investigated using the homotopy perturbation method (HPM) with Padé approximants (PA) and 4 order Runge–Kutta method (4RKM). Approximate analytical and numerical solutions for the velocity field and heat transfer are obtained and compar...

In this paper, the problem of laminar nanofluid flow in a semi-porous channel is investigated analytically using Homotopy Perturbation Method (HPM). This problem is in the presence of transverse magnetic field. Here, it has been attempted to show the capabilities and wide-range applications of the Homotopy Perturbation Method in comparison with the numerical method in solving such problems. The...