Muthuvalu, Mohana Sundaram and Aruchunan, Elayaraja and Ali, Majid Khan Majahar and Chew, Jackel Vui Lung and Sunarto, Andang and Lebelo, Ramoshweu and Sulaiman, Jumat (2022) Complexity reduction approach for solving second kind of Fredholm integral equations. Symmetry-Basel, 14 (5). ISSN 2073-8994, DOI https://doi.org/10.3390/sym14051017.
Full text not available from this repository.Abstract
Initially, the concept of the complexity reduction approach was applied to solve symmetry algebraic systems that were generated from the discretization of the partial differential equations. Consequently, in this paper, the effectiveness of a complexity reduction approach based on half- and quarter-sweep iteration concepts for solving linear Fredholm integral equations of the second kind is investigated. Half- and quarter-sweep iterative methods are applied to solve dense linear systems generated from the discretization of the second kind of linear Fredholm integral equations using a repeated modified trapezoidal (RMT) scheme. The formulation and implementation of the proposed methods are presented. In addition, computational complexity analysis and numerical results of test examples are also included to verify the performance of the proposed methods.
| Item Type: | Article |
|---|---|
| Funders: | Yayasan Universiti Teknologi PETRONAS under YUTPFundamental Research Grant (Grant No: 015LC0-083), Universiti Teknologi PETRONAS Universiti Malaysia Pahang Matching Grant (Grant No: 015MC0-033) |
| Uncontrolled Keywords: | Fredholm equations; Complexity reduction approach; Repeated modified trapezoidal; Point iterative method |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 13 Oct 2023 07:38 |
| Last Modified: | 13 Oct 2023 07:38 |
| URI: | http://eprints.um.edu.my/id/eprint/42240 |
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