A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems
We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/5026504 |
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| _version_ | 1832568515387719680 |
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| author | Syeda Tehmina Ejaz Ghulam Mustafa |
| author_facet | Syeda Tehmina Ejaz Ghulam Mustafa |
| author_sort | Syeda Tehmina Ejaz |
| collection | DOAJ |
| description | We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm. |
| format | Article |
| id | doaj-art-a16af33b38234244b00bfbb1731168ef |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a16af33b38234244b00bfbb1731168ef2025-02-03T00:58:53ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/50265045026504A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value ProblemsSyeda Tehmina Ejaz0Ghulam Mustafa1Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanWe construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.http://dx.doi.org/10.1155/2016/5026504 |
| spellingShingle | Syeda Tehmina Ejaz Ghulam Mustafa A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems Advances in Mathematical Physics |
| title | A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems |
| title_full | A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems |
| title_fullStr | A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems |
| title_full_unstemmed | A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems |
| title_short | A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems |
| title_sort | subdivision based iterative collocation algorithm for nonlinear third order boundary value problems |
| url | http://dx.doi.org/10.1155/2016/5026504 |
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