Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation

Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation

Exact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. Different from other numerical techniques, shifted Legendre polynomials and their properties are...

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Main Authors: A. Sami Bataineh, A. K. Alomari, I. Hashim
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/547502
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spelling doaj-2a6e9b74dac243029a86ea0a729ac6b52020-11-25T00:23:36ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/547502547502Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of DifferentiationA. Sami Bataineh0A. K. Alomari1I. Hashim2Department of Mathematics, Faculty of Science, Al-Balqa' Applied University, Al Salt 19117, JordanDepartment of Mathematics, Faculty of Science, Hashemite University, Zarqa 13115, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaExact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. Different from other numerical techniques, shifted Legendre polynomials and their properties are employed for deriving a general procedure for forming this matrix. The accuracy of the technique is demonstrated through several linear and nonlinear test examples.http://dx.doi.org/10.1155/2013/547502
collection DOAJ
language English
format Article
sources DOAJ
author A. Sami Bataineh
A. K. Alomari
I. Hashim
spellingShingle A. Sami Bataineh
A. K. Alomari
I. Hashim
Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
Journal of Applied Mathematics
author_facet A. Sami Bataineh
A. K. Alomari
I. Hashim
author_sort A. Sami Bataineh
title Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
title_short Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
title_full Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
title_fullStr Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
title_full_unstemmed Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation
title_sort approximate solutions of singular two-point bvps using legendre operational matrix of differentiation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description Exact and approximate analytical solutions of linear and nonlinear singular two-point boundary value problems (BVPs) are obtained for the first time by the Legendre operational matrix of differentiation. Different from other numerical techniques, shifted Legendre polynomials and their properties are employed for deriving a general procedure for forming this matrix. The accuracy of the technique is demonstrated through several linear and nonlinear test examples.
url http://dx.doi.org/10.1155/2013/547502
work_keys_str_mv AT asamibataineh approximatesolutionsofsingulartwopointbvpsusinglegendreoperationalmatrixofdifferentiation
AT akalomari approximatesolutionsofsingulartwopointbvpsusinglegendreoperationalmatrixofdifferentiation
AT ihashim approximatesolutionsofsingulartwopointbvpsusinglegendreoperationalmatrixofdifferentiation
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