Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method
In this paper, iterative methods particularly a family of Successive Over Relaxation (SOR) methods are used to solve system of linear equations generated from discretization of second-order two-point boundary value problems through cubic spline approaches. For the proposed problems, family of SOR me...
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| Format: | Article |
| Language: | English |
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International Center for Scientific Research and Studies
2012
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| Online Access: | https://eprints.ums.edu.my/id/eprint/19167/1/Cubic%20spline%20solutions%20for%20two.pdf |
| _version_ | 1825713350094356480 |
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| author | Norizyan Izzati Mohd Fauzi Jumat Sulaiman |
| author_facet | Norizyan Izzati Mohd Fauzi Jumat Sulaiman |
| author_sort | Norizyan Izzati Mohd Fauzi |
| collection | UMS |
| description | In this paper, iterative methods particularly a family of Successive Over Relaxation (SOR) methods are used to solve system of linear equations generated from discretization of second-order two-point boundary value problems through cubic spline approaches. For the proposed problems, family of SOR methods namely Full-Sweep SOR (FSSOR), Half-Sweep SOR (HSSOR) and Quarter-Sweep SOR (QSSOR) has been considered to be the generated linear solver. In addition, the formulation and implementation of these three proposed methods were also presented. Comparison among all tested SOR methods were carried out to show their performance. |
| first_indexed | 2024-03-06T02:55:13Z |
| format | Article |
| id | ums.eprints-19167 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:55:13Z |
| publishDate | 2012 |
| publisher | International Center for Scientific Research and Studies |
| record_format | dspace |
| spelling | ums.eprints-191672018-03-16T06:36:35Z https://eprints.ums.edu.my/id/eprint/19167/ Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method Norizyan Izzati Mohd Fauzi Jumat Sulaiman QA Mathematics In this paper, iterative methods particularly a family of Successive Over Relaxation (SOR) methods are used to solve system of linear equations generated from discretization of second-order two-point boundary value problems through cubic spline approaches. For the proposed problems, family of SOR methods namely Full-Sweep SOR (FSSOR), Half-Sweep SOR (HSSOR) and Quarter-Sweep SOR (QSSOR) has been considered to be the generated linear solver. In addition, the formulation and implementation of these three proposed methods were also presented. Comparison among all tested SOR methods were carried out to show their performance. International Center for Scientific Research and Studies 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/19167/1/Cubic%20spline%20solutions%20for%20two.pdf Norizyan Izzati Mohd Fauzi and Jumat Sulaiman (2012) Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method. nternational Journal of Open Problems in Computer Science and Mathematics, 5 (4). pp. 112-123. ISSN 1998-6262 http://platform.almanhal.com/Details/Article/52732# |
| spellingShingle | QA Mathematics Norizyan Izzati Mohd Fauzi Jumat Sulaiman Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title | Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title_full | Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title_fullStr | Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title_full_unstemmed | Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title_short | Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method |
| title_sort | cubic spline solutions for two point boundary value problems using quarter sweep sor method |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/19167/1/Cubic%20spline%20solutions%20for%20two.pdf |
| work_keys_str_mv | AT norizyanizzatimohdfauzi cubicsplinesolutionsfortwopointboundaryvalueproblemsusingquartersweepsormethod AT jumatsulaiman cubicsplinesolutionsfortwopointboundaryvalueproblemsusingquartersweepsormethod |