Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations

In previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trapezoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to...

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Autores principales:	Sundaram Muthuvalu,Mohana, Sulaiman,Jumat
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2012
Materias:	Linear Fredholm equations half-sweep iteration repeated Simpson Geometric Mean
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100007
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spelling	oai:scielo:S0716-091720120001000072012-04-13Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral EquationsSundaram Muthuvalu,MohanaSulaiman,Jumat Linear Fredholm equations half-sweep iteration repeated Simpson Geometric Mean In previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trapezoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to solve dense linear system generated from the discretization of the second kind linear Fredholm integral equations by using repeated Simpson's ^ (RS1) scheme. The formulation and implementation ofthe proposed method are also presented. In addition, several numerical simulations and computational complexity analysis were also included to verify the efficiency of the proposed method.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.1 20122012-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100007en10.4067/S0716-09172012000100007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Linear Fredholm equations half-sweep iteration repeated Simpson Geometric Mean
spellingShingle	Linear Fredholm equations half-sweep iteration repeated Simpson Geometric Mean Sundaram Muthuvalu,Mohana Sulaiman,Jumat Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
description	In previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trapezoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to solve dense linear system generated from the discretization of the second kind linear Fredholm integral equations by using repeated Simpson's ^ (RS1) scheme. The formulation and implementation ofthe proposed method are also presented. In addition, several numerical simulations and computational complexity analysis were also included to verify the efficiency of the proposed method.
author	Sundaram Muthuvalu,Mohana Sulaiman,Jumat
author_facet	Sundaram Muthuvalu,Mohana Sulaiman,Jumat
author_sort	Sundaram Muthuvalu,Mohana
title	Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
title_short	Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
title_full	Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
title_fullStr	Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
title_full_unstemmed	Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
title_sort	half-sweep geometric mean iterative method for the repeated simpson solution of second kind linear fredholm integral equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100007
work_keys_str_mv	AT sundarammuthuvalumohana halfsweepgeometricmeaniterativemethodfortherepeatedsimpsonsolutionofsecondkindlinearfredholmintegralequations AT sulaimanjumat halfsweepgeometricmeaniterativemethodfortherepeatedsimpsonsolutionofsecondkindlinearfredholmintegralequations
_version_	1718439782156075008

Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations

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