Numerical study of self-adjoint singularly perturbed two-point boundary value problems using collocation method with error estimation
A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications. The method is found to have a truncation error of O(h6) and converges to the exact soluti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-09-01
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| Series: | Journal of Ocean Engineering and Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013318300652 |
| Summary: | A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications. The method is found to have a truncation error of O(h6) and converges to the exact solution at O(h4). The numerical examples show that our method is very effective and the maximum absolute error is acceptable. Keywords: Self-adjoint singularly-perturbation problems, Two-point boundary value problems, Trigonometric quintic B-spline collocation method, MSC: 41A15, 65M70, 65M12, 65L11 |
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| ISSN: | 2468-0133 |