Solving Different Order Boundary Value Problems by Applying Homotopy Type Methods

Abstract

In this manuscript, the methods, Optimal Homotopy Asymptotic Method (OHAM), Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to solve various order boundary value problems. These techniques give solutions in the form of a series. Their solutions and graphs are compared with their exact solutions and graphs. All these give profitable results, but the Optimal Homotopy Asymptotic Method is more precise, whose convergence is restrained optimizations and the convergence area can be accustomed affording to the problem concerned. The results show that the suggested scheme is more active and relaxed to routine.