Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems
This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints. The algorithm is applied to well-known problems: Bra...
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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/10.1155/2013/875930 |
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| author | M. A. Hajji Q. M. Al-Mdallal |
| author_facet | M. A. Hajji Q. M. Al-Mdallal |
| author_sort | M. A. Hajji |
| collection | DOAJ |
| description | This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints. The algorithm is applied to well-known problems: Bratu and Thomas-Fermi problems. Numerical results demonstrate the clear advantage of the suggested modifications in
obtaining accurate numerical solutions as well as accurate derivatives at the endpoints. |
| format | Article |
| id | doaj-art-0fc3e88c582548198db0cc6562f4351c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0fc3e88c582548198db0cc6562f4351c2025-02-03T01:03:10ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/875930875930Modified Sinc-Galerkin Method for Nonlinear Boundary Value ProblemsM. A. Hajji0Q. M. Al-Mdallal1Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 17551, Al-Ain, UAEDepartment of Mathematical Sciences, United Arab Emirates University, P.O. Box 17551, Al-Ain, UAEThis paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints. The algorithm is applied to well-known problems: Bratu and Thomas-Fermi problems. Numerical results demonstrate the clear advantage of the suggested modifications in obtaining accurate numerical solutions as well as accurate derivatives at the endpoints.http://dx.doi.org/10.1155/2013/875930 |
| spellingShingle | M. A. Hajji Q. M. Al-Mdallal Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems Journal of Mathematics |
| title | Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems |
| title_full | Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems |
| title_fullStr | Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems |
| title_full_unstemmed | Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems |
| title_short | Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems |
| title_sort | modified sinc galerkin method for nonlinear boundary value problems |
| url | http://dx.doi.org/10.1155/2013/875930 |
| work_keys_str_mv | AT mahajji modifiedsincgalerkinmethodfornonlinearboundaryvalueproblems AT qmalmdallal modifiedsincgalerkinmethodfornonlinearboundaryvalueproblems |