Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems
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 inv...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/8725014 |
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| _version_ | 1832564424311832576 |
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| author | Muhammad Asim Khan Shafiq Ullah Norhashidah Hj. Mohd Ali |
| author_facet | Muhammad Asim Khan Shafiq Ullah Norhashidah Hj. Mohd Ali |
| author_sort | Muhammad Asim Khan |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-b2fe7d17966841a194c3584cbdedcd77 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b2fe7d17966841a194c3584cbdedcd772025-02-03T01:11:10ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/87250148725014Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value ProblemsMuhammad Asim Khan0Shafiq Ullah1Norhashidah Hj. Mohd Ali2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaDepartment of Mathematics, University of Peshawar, PakistanSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaThe 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).http://dx.doi.org/10.1155/2018/8725014 |
| spellingShingle | Muhammad Asim Khan Shafiq Ullah Norhashidah Hj. Mohd Ali Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems International Journal of Differential Equations |
| title | Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems |
| title_full | Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems |
| title_fullStr | Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems |
| title_full_unstemmed | Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems |
| title_short | Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems |
| title_sort | application of optimal homotopy asymptotic method to some well known linear and nonlinear two point boundary value problems |
| url | http://dx.doi.org/10.1155/2018/8725014 |
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