Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline
The aim of this paper is to discuss the application of Half-Sweep Modified Successive Over Relaxation (HSMSOR) iterative method for solving second order two-point boundary value problems. The effectiveness of the proposed HSMSOR method is examined by solving linear system generated from the cubic sp...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hikari Ltd
2012
|
| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf |
| _version_ | 1825713494522068992 |
|---|---|
| author | orizyan Izzati Mohd Fauzi Jumat Sulaiman |
| author_facet | orizyan Izzati Mohd Fauzi Jumat Sulaiman |
| author_sort | orizyan Izzati Mohd Fauzi |
| collection | UMS |
| description | The aim of this paper is to discuss the application of Half-Sweep Modified Successive Over Relaxation (HSMSOR) iterative method for solving second order two-point boundary value problems. The effectiveness of the proposed HSMSOR method is examined by solving linear system generated from the cubic spline discretization of second order two-point boundary value problems. In addition, the formulation and implementation of the proposed method are also presented. The results obtained from the proposed HSMSOR method with cubic spline scheme are compared with the results of Full-Sweep Successive Over Relaxation (FSSOR) and Half-Sweep Successive Over Relaxation (HSSOR) methods to demonstrate computationally their effectiveness. |
| first_indexed | 2024-03-06T02:57:28Z |
| format | Article |
| id | ums.eprints-20302 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:57:28Z |
| publishDate | 2012 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | ums.eprints-203022018-06-21T05:51:14Z https://eprints.ums.edu.my/id/eprint/20302/ Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline orizyan Izzati Mohd Fauzi Jumat Sulaiman QA Mathematics The aim of this paper is to discuss the application of Half-Sweep Modified Successive Over Relaxation (HSMSOR) iterative method for solving second order two-point boundary value problems. The effectiveness of the proposed HSMSOR method is examined by solving linear system generated from the cubic spline discretization of second order two-point boundary value problems. In addition, the formulation and implementation of the proposed method are also presented. The results obtained from the proposed HSMSOR method with cubic spline scheme are compared with the results of Full-Sweep Successive Over Relaxation (FSSOR) and Half-Sweep Successive Over Relaxation (HSSOR) methods to demonstrate computationally their effectiveness. Hikari Ltd 2012 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf orizyan Izzati Mohd Fauzi and Jumat Sulaiman (2012) Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline. International Journal of Contemporary Mathematical Sciences, 7 (32). pp. 1579-1589. ISSN 1312-7586 https://www.researchgate.net/publication/235935938_Half-Sweep_Modified_Successive_Over_Relaxation_Method_for_Solving_Second_Order_Two-Point_Boundary_Value_Problems_Using_Cubic_Spline |
| spellingShingle | QA Mathematics orizyan Izzati Mohd Fauzi Jumat Sulaiman Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title | Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title_full | Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title_fullStr | Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title_full_unstemmed | Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title_short | Half-sweep modified successive over relaxation method for solving second order two-point boundary value problems using cubic spline |
| title_sort | half sweep modified successive over relaxation method for solving second order two point boundary value problems using cubic spline |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/20302/1/Half%20sweep.pdf |
| work_keys_str_mv | AT orizyanizzatimohdfauzi halfsweepmodifiedsuccessiveoverrelaxationmethodforsolvingsecondordertwopointboundaryvalueproblemsusingcubicspline AT jumatsulaiman halfsweepmodifiedsuccessiveoverrelaxationmethodforsolvingsecondordertwopointboundaryvalueproblemsusingcubicspline |