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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| 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/10.1155/2013/547502 |
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| author | A. Sami Bataineh A. K. Alomari I. Hashim |
| author_facet | A. Sami Bataineh A. K. Alomari I. Hashim |
| author_sort | A. Sami Bataineh |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2a6e9b74dac243029a86ea0a729ac6b5 |
| 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-2a6e9b74dac243029a86ea0a729ac6b52025-02-03T01:07:01ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/547502 |
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