Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method i...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/468909 |
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| author | N. Ratib Anakira A. K. Alomari I. Hashim |
| author_facet | N. Ratib Anakira A. K. Alomari I. Hashim |
| author_sort | N. Ratib Anakira |
| collection | DOAJ |
| description | Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method. |
| format | Article |
| id | doaj-art-8eb4fff9749c40b8bd6826aa49ddbbd6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8eb4fff9749c40b8bd6826aa49ddbbd62025-02-03T06:12:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/468909468909Numerical Scheme for Solving Singular Two-Point Boundary Value ProblemsN. Ratib Anakira0A. K. Alomari1I. Hashim2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Hashemite University, 13115 Zarqa, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSingular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method.http://dx.doi.org/10.1155/2013/468909 |
| spellingShingle | N. Ratib Anakira A. K. Alomari I. Hashim Numerical Scheme for Solving Singular Two-Point Boundary Value Problems Journal of Applied Mathematics |
| title | Numerical Scheme for Solving Singular Two-Point Boundary Value Problems |
| title_full | Numerical Scheme for Solving Singular Two-Point Boundary Value Problems |
| title_fullStr | Numerical Scheme for Solving Singular Two-Point Boundary Value Problems |
| title_full_unstemmed | Numerical Scheme for Solving Singular Two-Point Boundary Value Problems |
| title_short | Numerical Scheme for Solving Singular Two-Point Boundary Value Problems |
| title_sort | numerical scheme for solving singular two point boundary value problems |
| url | http://dx.doi.org/10.1155/2013/468909 |
| work_keys_str_mv | AT nratibanakira numericalschemeforsolvingsingulartwopointboundaryvalueproblems AT akalomari numericalschemeforsolvingsingulartwopointboundaryvalueproblems AT ihashim numericalschemeforsolvingsingulartwopointboundaryvalueproblems |