Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations
In this paper, we have examined the effectiveness of the quarter-sweep iteration concept on conjugate gradient normal residual (CGNR) iterative method by using composite Simpson’s (CS) and finite difference (FD) discretization schemes in solving Fredholm integro-differential equations. For compariso...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/8245/1/19_Elayaraja_Aruchunan.pdf |
| _version_ | 1825726218426646528 |
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| author | Elayaraja Aruchunan, Mohana Sundaram Muthuvalu, Jumat Sulaiman, |
| author_facet | Elayaraja Aruchunan, Mohana Sundaram Muthuvalu, Jumat Sulaiman, |
| author_sort | Elayaraja Aruchunan, |
| collection | UKM |
| description | In this paper, we have examined the effectiveness of the quarter-sweep iteration concept on conjugate gradient normal residual (CGNR) iterative method by using composite Simpson’s (CS) and finite difference (FD) discretization schemes in solving Fredholm integro-differential equations. For comparison purposes, Gauss- Seidel (GS) and the standard or full- and half-sweep CGNR methods namely FSCGNR and HSCGNR are also presented. To validate the efficacy of the proposed method, several analyses were carried out such as computational complexity and percentage reduction on the proposed and existing methods. |
| first_indexed | 2024-03-06T04:07:33Z |
| format | Article |
| id | ukm.eprints-8245 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:07:33Z |
| publishDate | 2015 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-82452016-12-14T06:46:40Z http://journalarticle.ukm.my/8245/ Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations Elayaraja Aruchunan, Mohana Sundaram Muthuvalu, Jumat Sulaiman, In this paper, we have examined the effectiveness of the quarter-sweep iteration concept on conjugate gradient normal residual (CGNR) iterative method by using composite Simpson’s (CS) and finite difference (FD) discretization schemes in solving Fredholm integro-differential equations. For comparison purposes, Gauss- Seidel (GS) and the standard or full- and half-sweep CGNR methods namely FSCGNR and HSCGNR are also presented. To validate the efficacy of the proposed method, several analyses were carried out such as computational complexity and percentage reduction on the proposed and existing methods. Universiti Kebangsaan Malaysia 2015-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8245/1/19_Elayaraja_Aruchunan.pdf Elayaraja Aruchunan, and Mohana Sundaram Muthuvalu, and Jumat Sulaiman, (2015) Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations. Sains Malaysiana, 44 (1). pp. 139-146. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Elayaraja Aruchunan, Mohana Sundaram Muthuvalu, Jumat Sulaiman, Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title | Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title_full | Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title_fullStr | Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title_full_unstemmed | Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title_short | Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations |
| title_sort | quarter sweep iteration concept on conjugate gradient normal residual method via second order quadrature finite difference schemes for solving fredholm integro differential equations |
| url | http://journalarticle.ukm.my/8245/1/19_Elayaraja_Aruchunan.pdf |
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