Solving second order boundary value problems by discrete cubic splines

In this paper we use discrete cubic spline based on central differences to obtain approximate solution of a second order boundary value problem. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. Two numerical examples are included to illustrate o...

Full description

Saved in:

Bibliographic Details
Main Authors:	Chen, Fengmin, Wong, Patricia Jia Yiing
Other Authors:	School of Electrical and Electronic Engineering
Format:	Conference or Workshop Item
Language:	English
Published:	2013
Subjects:	DRNTU::Engineering::Electrical and electronic engineering
Online Access:	https://hdl.handle.net/10356/97079 http://hdl.handle.net/10220/11810
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-97079
record_format	dspace
spelling	sg-ntu-dr.10356-970792020-03-07T13:24:47Z Solving second order boundary value problems by discrete cubic splines Chen, Fengmin Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering International Conference on Control Automation Robotics & Vision (12th : 2012 : Guangzhou, China) DRNTU::Engineering::Electrical and electronic engineering In this paper we use discrete cubic spline based on central differences to obtain approximate solution of a second order boundary value problem. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. Two numerical examples are included to illustrate our method as well as to compare the performance with other numerical methods proposed in the literature. 2013-07-18T01:39:13Z 2019-12-06T19:38:46Z 2013-07-18T01:39:13Z 2019-12-06T19:38:46Z 2012 2012 Conference Paper Chen, F., & Wong, P. J. Y. (2012). Solving second order boundary value problems by discrete cubic splines. 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV). https://hdl.handle.net/10356/97079 http://hdl.handle.net/10220/11810 10.1109/ICARCV.2012.6485423 en © 2012 IEEE.
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Electrical and electronic engineering
spellingShingle	DRNTU::Engineering::Electrical and electronic engineering Chen, Fengmin Wong, Patricia Jia Yiing Solving second order boundary value problems by discrete cubic splines
description	In this paper we use discrete cubic spline based on central differences to obtain approximate solution of a second order boundary value problem. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. Two numerical examples are included to illustrate our method as well as to compare the performance with other numerical methods proposed in the literature.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Chen, Fengmin Wong, Patricia Jia Yiing
format	Conference or Workshop Item
author	Chen, Fengmin Wong, Patricia Jia Yiing
author_sort	Chen, Fengmin
title	Solving second order boundary value problems by discrete cubic splines
title_short	Solving second order boundary value problems by discrete cubic splines
title_full	Solving second order boundary value problems by discrete cubic splines
title_fullStr	Solving second order boundary value problems by discrete cubic splines
title_full_unstemmed	Solving second order boundary value problems by discrete cubic splines
title_sort	solving second order boundary value problems by discrete cubic splines
publishDate	2013
url	https://hdl.handle.net/10356/97079 http://hdl.handle.net/10220/11810
_version_	1681040463098806272

Solving second order boundary value problems by discrete cubic splines

Similar Items