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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/1/12_Nur_Nadiah.pdf |
| _version_ | 1848810023746011136 |
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| author | Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, |
| author_facet | Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, |
| author_sort | Nur Nadiah Abd Hamid, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:23:55Z |
| format | Article |
| id | oai:generic.eprints.org:2940 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:23:55Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | Nur Nadiah Abd Hamid, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, Extended cubic B-spline method for linear two-point boundary value problems |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/ http://journalarticle.ukm.my/2940/1/12_Nur_Nadiah.pdf |