Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations

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...

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Main Authors: Elayaraja Aruchunan, Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2015
Online Access:http://journalarticle.ukm.my/8245/
http://journalarticle.ukm.my/8245/
http://journalarticle.ukm.my/8245/1/19_Elayaraja_Aruchunan.pdf
id ukm-8245
recordtype eprints
spelling ukm-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/
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
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.
format Article
author Elayaraja Aruchunan,
Mohana Sundaram Muthuvalu,
Jumat Sulaiman,
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
author_facet Elayaraja Aruchunan,
Mohana Sundaram Muthuvalu,
Jumat Sulaiman,
author_sort Elayaraja Aruchunan,
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_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_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_sort quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations
publisher Universiti Kebangsaan Malaysia
publishDate 2015
url http://journalarticle.ukm.my/8245/
http://journalarticle.ukm.my/8245/
http://journalarticle.ukm.my/8245/1/19_Elayaraja_Aruchunan.pdf
first_indexed 2023-09-18T19:51:54Z
last_indexed 2023-09-18T19:51:54Z
_version_ 1777406275705896960

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