Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accura...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2019
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| Online Access: | https://hdl.handle.net/10356/103565 http://hdl.handle.net/10220/47341 |
| _version_ | 1826122525945364480 |
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| author | Ding, Qinxu Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Ding, Qinxu Wong, Patricia Jia Yiing |
| author_sort | Ding, Qinxu |
| collection | NTU |
| description | In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accuracy of our method and to compare with other methods in the literature. |
| first_indexed | 2024-10-01T05:49:35Z |
| format | Journal Article |
| id | ntu-10356/103565 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:49:35Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/1035652020-03-07T14:00:37Z Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems Ding, Qinxu Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering Cubic Non-polynomial Spline Boundary Value Problem In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accuracy of our method and to compare with other methods in the literature. Published version 2019-01-03T06:27:56Z 2019-12-06T21:15:31Z 2019-01-03T06:27:56Z 2019-12-06T21:15:31Z 2018 Journal Article Ding, Q., & Wong, P. J. Y. (2018). Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems. Boundary Value Problems, 2018(1), 156-. doi:10.1186/s13661-018-1075-y 1687-2762 https://hdl.handle.net/10356/103565 http://hdl.handle.net/10220/47341 10.1186/s13661-018-1075-y en Boundary Value Problems © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made 16 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Cubic Non-polynomial Spline Boundary Value Problem Ding, Qinxu Wong, Patricia Jia Yiing Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title | Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title_full | Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title_fullStr | Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title_full_unstemmed | Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title_short | Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems |
| title_sort | mid knot cubic non polynomial spline for a system of second order boundary value problems |
| topic | DRNTU::Engineering::Electrical and electronic engineering Cubic Non-polynomial Spline Boundary Value Problem |
| url | https://hdl.handle.net/10356/103565 http://hdl.handle.net/10220/47341 |
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