Extended cubic B-spline method for linear two-point boundary value problems

Second order linear two-point boundary value problems were solved using extended cubic B-spline interpolation method. Extended cubic B-spline is an extension of cubic B-spline consisting of one shape parameter, called λ. The resulting approximated analytical solution for the problems would be a func...

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Main Authors:	Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/1/12_Nur_Nadiah.pdf

id	ukm-2940
recordtype	eprints
spelling	ukm-29402016-12-14T06:33:07Z http://journalarticle.ukm.my/2940/ Extended cubic B-spline method for linear two-point boundary value problems Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, Second order linear two-point boundary value problems were solved using extended cubic B-spline interpolation method. Extended cubic B-spline is an extension of cubic B-spline consisting of one shape parameter, called λ. The resulting approximated analytical solution for the problems would be a function of λ. Optimization of λ was carried out to find the best value of λ that generates the closest fit to the differential equations in the problems. This method approximated the solutions for the problems much more accurately compared to finite difference, finite element, finite volume and cubic B-spline interpolation methods. Universiti Kebangsaan Malaysia 2011-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2940/1/12_Nur_Nadiah.pdf Nur Nadiah Abd Hamid, and Ahmad Abd. Majid, and Ahmad Izani Md. Ismail, (2011) Extended cubic B-spline method for linear two-point boundary value problems. Sains Malaysiana, 40 (11). pp. 1285-1290. ISSN 0126-6039 http://www.ukm.my/jsm/contents.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Second order linear two-point boundary value problems were solved using extended cubic B-spline interpolation method. Extended cubic B-spline is an extension of cubic B-spline consisting of one shape parameter, called λ. The resulting approximated analytical solution for the problems would be a function of λ. Optimization of λ was carried out to find the best value of λ that generates the closest fit to the differential equations in the problems. This method approximated the solutions for the problems much more accurately compared to finite difference, finite element, finite volume and cubic B-spline interpolation methods.
format	Article
author	Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail,
spellingShingle	Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, Extended cubic B-spline method for linear two-point boundary value problems
author_facet	Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail,
author_sort	Nur Nadiah Abd Hamid,
title	Extended cubic B-spline method for linear two-point boundary value problems
title_short	Extended cubic B-spline method for linear two-point boundary value problems
title_full	Extended cubic B-spline method for linear two-point boundary value problems
title_fullStr	Extended cubic B-spline method for linear two-point boundary value problems
title_full_unstemmed	Extended cubic B-spline method for linear two-point boundary value problems
title_sort	extended cubic b-spline method for linear two-point boundary value problems
publisher	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/1/12_Nur_Nadiah.pdf
first_indexed	2023-09-18T19:37:25Z
last_indexed	2023-09-18T19:37:25Z
_version_	1777405363574800384

Extended cubic B-spline method for linear two-point boundary value problems

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