Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations

The main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation. The basic for...

Full description

Bibliographic Details
Main Authors: Aruchunan, Elayaraja, Sulaiman, J.
Other Authors: Md. Sazzad Hossien Chowdhury
Format: Conference Paper
Published: Faculty of Engineering International Islamic University Malaysia (IIUM) 2010
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/44419
_version_ 1848756995738304512
author Aruchunan, Elayaraja
Sulaiman, J.
author2 Md. Sazzad Hossien Chowdhury
author_facet Md. Sazzad Hossien Chowdhury
Aruchunan, Elayaraja
Sulaiman, J.
author_sort Aruchunan, Elayaraja
building Curtin Institutional Repository
collection Online Access
description The main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation. The basic formulation and implementation of the proposedmethod is also presented. Some numerical tests were carried out to show the effectiveness of the proposed method compared to the Full-Sweep Conjugate Gradient (FSGS) iterative method.
first_indexed 2025-11-14T09:21:04Z
format Conference Paper
id curtin-20.500.11937-44419
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:21:04Z
publishDate 2010
publisher Faculty of Engineering International Islamic University Malaysia (IIUM)
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-444192017-01-30T15:13:53Z Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations Aruchunan, Elayaraja Sulaiman, J. Md. Sazzad Hossien Chowdhury trapezoidal central difference and Half-Sweep conjugate gradient Integro-differential equations The main purpose of this paper is to examine the effectiveness of Half-Sweep Conjugate Gradient (HSCG) method. The trapezoidal and central difference scheme will be used to discretize linear Fredholm integro-differential equations of the first order to formulate system linear equation. The basic formulation and implementation of the proposedmethod is also presented. Some numerical tests were carried out to show the effectiveness of the proposed method compared to the Full-Sweep Conjugate Gradient (FSGS) iterative method. 2010 Conference Paper http://hdl.handle.net/20.500.11937/44419 Faculty of Engineering International Islamic University Malaysia (IIUM) restricted
spellingShingle trapezoidal
central difference and Half-Sweep conjugate gradient
Integro-differential equations
Aruchunan, Elayaraja
Sulaiman, J.
Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title_full Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title_fullStr Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title_full_unstemmed Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title_short Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
title_sort half-sweep conjugate gradient method for solving first order linear fredholm integro-differential equations
topic trapezoidal
central difference and Half-Sweep conjugate gradient
Integro-differential equations
url http://hdl.handle.net/20.500.11937/44419