Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems

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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Main Authors: M. A. Hajji, Q. M. Al-Mdallal
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/875930
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spelling doaj-0fc3e88c582548198db0cc6562f4351c2020-11-24T23:56:46ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author M. A. Hajji
Q. M. Al-Mdallal
spellingShingle M. A. Hajji
Q. M. Al-Mdallal
Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems
Journal of Mathematics
author_facet M. A. Hajji
Q. M. Al-Mdallal
author_sort M. A. Hajji
title Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems
title_short 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_sort modified sinc-galerkin method for nonlinear boundary value problems
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/875930
work_keys_str_mv AT mahajji modifiedsincgalerkinmethodfornonlinearboundaryvalueproblems
AT qmalmdallal modifiedsincgalerkinmethodfornonlinearboundaryvalueproblems
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