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Copyright © 2018 Muhammad Asim Khan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/

Abstract

The objective of this paper is to obtain an approximate solution for some well-known linear and nonlinear two-point boundary value problems. For this purpose, a semianalytical method known as optimal homotopy asymptotic method (OHAM) is used. Moreover, optimal homotopy asymptotic method does not involve any discretization, linearization, or small perturbations and that is why it reduces the computations a lot. OHAM results show the effectiveness and reliability of OHAM for application to two-point boundary value problems. The obtained results are compared to the exact solutions and homotopy perturbation method (HPM).

Details

Title
Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems
Author
Khan, Muhammad Asim 1   VIAFID ORCID Logo  ; Ullah, Shafiq 2 ; Norhashidah Hj Mohd Ali 1 

 School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia 
 Department of Mathematics, University of Peshawar, Pakistan 
Editor
Dongfang Li
Publication year
2018
Publication date
2018
Publisher
John Wiley & Sons, Inc.
ISSN
16879643
e-ISSN
16879651
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2158167265
Copyright
Copyright © 2018 Muhammad Asim Khan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/