Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology
The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. The process of the method, which produces solutions in terms of convergent series, is explained. The Lagrange multipliers needed to construct the correctional function...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/720134 |
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| author | Marwan Abukhaled |
| author_facet | Marwan Abukhaled |
| author_sort | Marwan Abukhaled |
| collection | DOAJ |
| description | The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. The process of the method, which produces solutions in terms of convergent series, is explained. The Lagrange multipliers needed to construct the correctional functional are found in terms of the exponential integral and Whittaker functions. The method easily overcomes the obstacle of singularities. Examples will be presented to test the method and compare it to other existing methods in order to confirm fast convergence and significant accuracy. |
| format | Article |
| id | doaj-art-ead68d875c124d32bf9b50c6792e21de |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ead68d875c124d32bf9b50c6792e21de2025-08-20T02:22:02ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/720134720134Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human PhysiologyMarwan Abukhaled0Department of Mathematics and Statistics, American University of Sharjah, P.O. Box 26666, Sharjah, UAEThe variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. The process of the method, which produces solutions in terms of convergent series, is explained. The Lagrange multipliers needed to construct the correctional functional are found in terms of the exponential integral and Whittaker functions. The method easily overcomes the obstacle of singularities. Examples will be presented to test the method and compare it to other existing methods in order to confirm fast convergence and significant accuracy.http://dx.doi.org/10.1155/2013/720134 |
| spellingShingle | Marwan Abukhaled Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology Journal of Mathematics |
| title | Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology |
| title_full | Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology |
| title_fullStr | Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology |
| title_full_unstemmed | Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology |
| title_short | Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology |
| title_sort | variational iteration method for nonlinear singular two point boundary value problems arising in human physiology |
| url | http://dx.doi.org/10.1155/2013/720134 |
| work_keys_str_mv | AT marwanabukhaled variationaliterationmethodfornonlinearsingulartwopointboundaryvalueproblemsarisinginhumanphysiology |