Solving Different Order Boundary Value Problems by Applying Homotopy Type Methods

Main Article Content

Muhammad Naeem
Zahid Khan
Sher Muhammad
Liaqat Khan
Jamal Uddin

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.

Keywords:
OHAM, HPM, HAM, various order boundary value problems

Article Details

How to Cite
Naeem, M., Khan, Z., Muhammad, S., Khan, L., & Uddin, J. (2018). Solving Different Order Boundary Value Problems by Applying Homotopy Type Methods. Journal of Advances in Mathematics and Computer Science, 28(2), 1-18. https://doi.org/10.9734/JAMCS/2018/42407
Section
Original Research Article