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| Title: | Comparisons of Newton-Cotes quadrature schemes with Half-Sweep SOR method for second kind linear Fredholm integral equations |
| Authors: | Muthuvalu, M. Sundaram
Jumat, Sulaiman |
| E-mail: | sundaram_at2@yahoo.com
jumat@ums.edu.my |
| Keywords: | Linear Fredholm equations
Half-sweep iteration
Newton-Cotes quadrature
Successive Over-Relaxation
Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Citation: | Vol.1(27), p.162-167 |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | In this paper, we investigate the applications of two different schemes of Newton-Cotes quadrature method that is repeated trapezoidal (RT) and repeated Simpson’s 31 (RS1) schemes via Half-Sweep Successive Over-Relaxation (HSSOR) iterative method to solve second kind linear Fredholm integral equations. Furthermore, the derivation and implementation of the proposed method are also included. Numerical tests and comparisons with other existing methods are given to illustrate the effectiveness of the proposed method. |
| Description: | 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| URI: | http://hdl.handle.net/123456789/10305 |
| Appears in Collections: | Conference Papers
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