MingMing Xu and Jumat Sulaiman and Labiyana Hanif Ali (2021) Linear rational finite difference approximation for secondorder linear fredholm integrodifferential equations using the halfsweep SOR iterative method. International Journal of Engineering Trends and Technology, 69. pp. 136143. ISSN 22315381, 23490918
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Abstract
This paper proposes the hybridization of the threepoint halfsweep linear rational finite difference (3HSLRFD) schemes with the halfsweep composite trapezoidal (HSCT) approach to derive the 3HSLRFDHSCT discretization schemes, in which these discretization schemes are used to derive the corresponding approximation equation for secondorder linear Fredholm integrodifferential equation. Based on the approximation equation, the related linear system can be generated, in which its coefficient matrix is dense. Furthermore, the halfsweep Successive OverRelaxation (HSSOR) technique is implemented to find the numerical solution of the linear system. To make a comparison, the fullsweep GaussSeidel (FSGS) and the fullsweep Successive OverRelaxation (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.
Item Type:  Article 

Keyword:  Secondorder Integrodifferential equations, Halfsweep SOR iterative method, Threepoint halfsweep linear rational finite difference scheme, Halfsweep composite trapezoidal scheme. 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics > QA143 General Q Science > QA Mathematics > QA1939 Mathematics > QA273280 Probabilities. Mathematical statistics 
Department:  FACULTY > Faculty of Science and Natural Resources 
Depositing User:  ABDULLAH BIN SABUDIN  
Date Deposited:  19 Sep 2023 10:00 
Last Modified:  19 Sep 2023 10:00 
URI:  https://eprints.ums.edu.my/id/eprint/37215 
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