Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method
This paper proposes the hybridization of the three-point half-sweep linear rational finite difference (3HSLRFD) schemes with the half-sweep composite trapezoidal (HSCT) approach to derive the 3HSLRFD-HSCT discretization schemes, in which these discretization schemes are used to derive the correspond...
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| Ձևաչափ: | Հոդված |
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Seventh Sense Research Group
2021
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://eprints.ums.edu.my/id/eprint/37215/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/37215/2/FULL%20TEXT.pdf |
| _version_ | 1825715343919677440 |
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| author | Ming-Ming Xu Jumat Sulaiman Labiyana Hanif Ali |
| author_facet | Ming-Ming Xu Jumat Sulaiman Labiyana Hanif Ali |
| author_sort | Ming-Ming Xu |
| collection | UMS |
| description | This paper proposes the hybridization of the three-point half-sweep linear rational finite difference (3HSLRFD) schemes with the half-sweep composite trapezoidal (HSCT) approach to derive the 3HSLRFD-HSCT discretization schemes, in which these discretization schemes are used to derive the corresponding approximation equation for second-order linear Fredholm integro-differential equation. Based on the approximation equation, the related linear system can be generated, in which its coefficient matrix is dense. Furthermore, the half-sweep Successive Over-Relaxation (HSSOR) technique is implemented to find the numerical solution of the linear system. To make a comparison, the full-sweep Gauss-Seidel (FSGS) and the full-sweep Successive Over-Relaxation (FSSOR) techniques are also presented as the control method. In numerical experiments, three parameters like the quantity of iterations, elapsed time and the maximum absolute errors have been recorded via three methods. Lastly, it can be pointed out that the HSSOR technique is more superior to the other two techniques, especially in terms of the quantity of iterations and elapsed time. |
| first_indexed | 2024-03-06T03:25:25Z |
| format | Article |
| id | ums.eprints-37215 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:25:25Z |
| publishDate | 2021 |
| publisher | Seventh Sense Research Group |
| record_format | dspace |
| spelling | ums.eprints-372152023-09-19T02:00:52Z https://eprints.ums.edu.my/id/eprint/37215/ Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method Ming-Ming Xu Jumat Sulaiman Labiyana Hanif Ali QA1-43 General QA273-280 Probabilities. Mathematical statistics This paper proposes the hybridization of the three-point half-sweep linear rational finite difference (3HSLRFD) schemes with the half-sweep composite trapezoidal (HSCT) approach to derive the 3HSLRFD-HSCT discretization schemes, in which these discretization schemes are used to derive the corresponding approximation equation for second-order linear Fredholm integro-differential equation. Based on the approximation equation, the related linear system can be generated, in which its coefficient matrix is dense. Furthermore, the half-sweep Successive Over-Relaxation (HSSOR) technique is implemented to find the numerical solution of the linear system. To make a comparison, the full-sweep Gauss-Seidel (FSGS) and the full-sweep Successive Over-Relaxation (FSSOR) techniques are also presented as the control method. In numerical experiments, three parameters like the quantity of iterations, elapsed time and the maximum absolute errors have been recorded via three methods. Lastly, it can be pointed out that the HSSOR technique is more superior to the other two techniques, especially in terms of the quantity of iterations and elapsed time. Seventh Sense Research Group 2021-06 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/37215/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/37215/2/FULL%20TEXT.pdf Ming-Ming Xu and Jumat Sulaiman and Labiyana Hanif Ali (2021) Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method. International Journal of Engineering Trends and Technology, 69. pp. 136-143. ISSN 22315381, 23490918 https://doi.org/:10.14445/22315381/IJETT-V69I6P221 |
| spellingShingle | QA1-43 General QA273-280 Probabilities. Mathematical statistics Ming-Ming Xu Jumat Sulaiman Labiyana Hanif Ali Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title | Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title_full | Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title_fullStr | Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title_full_unstemmed | Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title_short | Linear rational finite difference approximation for second-order linear fredholm integro-differential equations using the half-sweep SOR iterative method |
| title_sort | linear rational finite difference approximation for second order linear fredholm integro differential equations using the half sweep sor iterative method |
| topic | QA1-43 General QA273-280 Probabilities. Mathematical statistics |
| url | https://eprints.ums.edu.my/id/eprint/37215/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/37215/2/FULL%20TEXT.pdf |
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