QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems
Two-point boundary value problems are commonly used as a numerical test in developing an efficient numerical method. Several researchers studied the application of a cubic non-polynomial spline method to solve the two-point boundary value problems. A preliminary study found that a cubic non-polynomi...
| Main Authors: | , , , , |
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| Format: | Proceedings |
| Language: | English English |
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IOP Publishing Ltd.
2021
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| Online Access: | https://eprints.ums.edu.my/id/eprint/34631/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34631/2/FULLTEXT.pdf |
| _version_ | 1825715088463495168 |
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| author | Andang Sunarto P Agarwal Chew, Jackel Vui Lung H Justine Jumat Sulaiman |
| author_facet | Andang Sunarto P Agarwal Chew, Jackel Vui Lung H Justine Jumat Sulaiman |
| author_sort | Andang Sunarto |
| collection | UMS |
| description | Two-point boundary value problems are commonly used as a numerical test in developing an efficient numerical method. Several researchers studied the application of a cubic non-polynomial spline method to solve the two-point boundary value problems. A preliminary study found that a cubic non-polynomial spline method is better than a standard finite difference method in terms of the accuracy of the solution. Therefore, this paper aims to examine the performance of a cubic non-polynomial spline method through the combination with the full-, half-, and quarter-sweep iterations. The performance was evaluated in terms of the number of iterations, the execution time and the maximum absolute error by varying the iterations from full-, half-to quarter-sweep. A successive over-relaxation iterative method was implemented to solve the large and sparse linear system. The numerical result showed that the newly derived QSSOR method, based on a cubic non-polynomial spline, performed better than the tested FSSOR and HSSOR methods. |
| first_indexed | 2024-03-06T03:21:30Z |
| format | Proceedings |
| id | ums.eprints-34631 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:21:30Z |
| publishDate | 2021 |
| publisher | IOP Publishing Ltd. |
| record_format | dspace |
| spelling | ums.eprints-346312022-10-31T03:05:18Z https://eprints.ums.edu.my/id/eprint/34631/ QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems Andang Sunarto P Agarwal Chew, Jackel Vui Lung H Justine Jumat Sulaiman QA1-939 Mathematics Two-point boundary value problems are commonly used as a numerical test in developing an efficient numerical method. Several researchers studied the application of a cubic non-polynomial spline method to solve the two-point boundary value problems. A preliminary study found that a cubic non-polynomial spline method is better than a standard finite difference method in terms of the accuracy of the solution. Therefore, this paper aims to examine the performance of a cubic non-polynomial spline method through the combination with the full-, half-, and quarter-sweep iterations. The performance was evaluated in terms of the number of iterations, the execution time and the maximum absolute error by varying the iterations from full-, half-to quarter-sweep. A successive over-relaxation iterative method was implemented to solve the large and sparse linear system. The numerical result showed that the newly derived QSSOR method, based on a cubic non-polynomial spline, performed better than the tested FSSOR and HSSOR methods. IOP Publishing Ltd. 2021 Proceedings PeerReviewed text en https://eprints.ums.edu.my/id/eprint/34631/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/34631/2/FULLTEXT.pdf Andang Sunarto and P Agarwal and Chew, Jackel Vui Lung and H Justine and Jumat Sulaiman (2021) QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems. https://iopscience.iop.org/article/10.1088/1742-6596/2000/1/012007 |
| spellingShingle | QA1-939 Mathematics Andang Sunarto P Agarwal Chew, Jackel Vui Lung H Justine Jumat Sulaiman QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title | QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title_full | QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title_fullStr | QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title_full_unstemmed | QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title_short | QSSOR and cubic non-polynomial spline method for the solution of two- point boundary value problems |
| title_sort | qssor and cubic non polynomial spline method for the solution of two point boundary value problems |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/34631/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/34631/2/FULLTEXT.pdf |
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