Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. The solutions obtained by OHAM have been compared with the solutions of another method named as modified adomain decom...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2014/287480 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567382907813888 |
|---|---|
| author | S. Zuhra S. Islam M. Idrees Rashid Nawaz I. A. Shah H. Ullah |
| author_facet | S. Zuhra S. Islam M. Idrees Rashid Nawaz I. A. Shah H. Ullah |
| author_sort | S. Zuhra |
| collection | DOAJ |
| description | In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. The solutions obtained by OHAM have been compared with the solutions of another method named as modified adomain decomposition (MADM). For testing the success of OHAM, both of the techniques have been analyzed against the exact solutions in all problems. It is proved by this paper that solutions of OHAM converge rapidly to the exact solution and show most effectiveness as compared to MADM. |
| format | Article |
| id | doaj-art-89738dcf7ce0476d9735b466f8ba0cb8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-89738dcf7ce0476d9735b466f8ba0cb82025-02-03T01:01:39ZengWileyInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/287480287480Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic MethodS. Zuhra0S. Islam1M. Idrees2Rashid Nawaz3I. A. Shah4H. Ullah5Department of Mathematics, Islamia College University Peshawar, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Islamia College University Peshawar, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Islamia College University Peshawar, PakistanIn this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. The solutions obtained by OHAM have been compared with the solutions of another method named as modified adomain decomposition (MADM). For testing the success of OHAM, both of the techniques have been analyzed against the exact solutions in all problems. It is proved by this paper that solutions of OHAM converge rapidly to the exact solution and show most effectiveness as compared to MADM.http://dx.doi.org/10.1155/2014/287480 |
| spellingShingle | S. Zuhra S. Islam M. Idrees Rashid Nawaz I. A. Shah H. Ullah Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method International Journal of Differential Equations |
| title | Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method |
| title_full | Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method |
| title_fullStr | Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method |
| title_full_unstemmed | Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method |
| title_short | Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method |
| title_sort | solving singular boundary value problems by optimal homotopy asymptotic method |
| url | http://dx.doi.org/10.1155/2014/287480 |
| work_keys_str_mv | AT szuhra solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod AT sislam solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod AT midrees solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod AT rashidnawaz solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod AT iashah solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod AT hullah solvingsingularboundaryvalueproblemsbyoptimalhomotopyasymptoticmethod |