Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method

In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. F...

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主要な著者: Mohana Sundaram Muthuvalu, Sarat Dass, Beh, Hoe Guan, Jumat Sulaiman
フォーマット: Conference or Workshop Item
言語:English
出版事項: 2014
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オンライン・アクセス:https://eprints.ums.edu.my/id/eprint/20677/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf
https://eprints.ums.edu.my/id/eprint/20677/
https://doi.org/10.1063/1.4882486
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要約:In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. Furthermore, numerical results of test problems are also presented to verify the performance of the method compared to 2-Point Full-Sweep Explicit Group (2-FSEG) method. From the numerical results obtained, it is noticeable that the 2-HSEG method is superior to 2-FSEG method, especially in terms of computational time.