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...

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Main Authors:	Ding, Qinxu, Wong, Patricia Jia Yiing
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2019
Subjects:	DRNTU::Engineering::Electrical and electronic engineering Cubic Non-polynomial Spline Boundary Value Problem
Online Access:	https://hdl.handle.net/10356/103565 http://hdl.handle.net/10220/47341
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-103565
record_format	dspace
spelling	sg-ntu-dr.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
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Electrical and electronic engineering Cubic Non-polynomial Spline Boundary Value Problem
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
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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Ding, Qinxu Wong, Patricia Jia Yiing
format	Article
author	Ding, Qinxu Wong, Patricia Jia Yiing
author_sort	Ding, Qinxu
title	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_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_sort	mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
publishDate	2019
url	https://hdl.handle.net/10356/103565 http://hdl.handle.net/10220/47341
_version_	1681042449567318016

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

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