Complexity reduction approach for solving second kind of Fredholm integral equations

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

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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

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