Comparative Analysis of Nonlinear Thirteenth Order Boundary Value Problems Utilizing OHAM and HPM

In this article, we employed Homotopy Perturbation Method (HPM) and Optimal Homotopy Asymptotic Method (OHAM) to investigate the semi analytical solution of thirteenth order boundary value problems. These analytical outcomes have been achieved in phrase of convergent series with simply computable constituents. Comparing the outcomes with exact solution, Variational Iterative Method (VIM) and Differential Transformative Method (DTM), excellent agreement has been found. It is observed that HPM and OHAM provide better solution than VIM and DTM which demonstrates the effectiveness, potentiality and validity of the proposed methods in reality and the acquired results are of top-level precision.