Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations

In this paper, we investigate the applications of two different quadrature schemes that is repeated trapezoidal (RT) and repeated modified trapezoidal (RMT) schemes via Arithmetic Mean iterative method to solve second kind linear Fredholm integral equations. Furthermore, the derivation and implement...

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Main Authors: Mohana Sundaram Muthuvalu, Jumat Sulaiman
Format: Article
Language:English
Published: 2010
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/21490/1/Comparisons%20of%20Quadrature%20Schemes%20with%20Arithmetic%20Mean%20Iterative%20Method%20for%20Second%20Kind%20Linear%20Fredholm%20Integral%20Equations.pdf
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author Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_facet Mohana Sundaram Muthuvalu
Jumat Sulaiman
author_sort Mohana Sundaram Muthuvalu
collection UMS
description In this paper, we investigate the applications of two different quadrature schemes that is repeated trapezoidal (RT) and repeated modified trapezoidal (RMT) schemes via Arithmetic Mean 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 are given to illustrate the effectiveness of the proposed method.
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spelling ums.eprints-214902019-03-05T04:31:06Z https://eprints.ums.edu.my/id/eprint/21490/ Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations Mohana Sundaram Muthuvalu Jumat Sulaiman QL Zoology In this paper, we investigate the applications of two different quadrature schemes that is repeated trapezoidal (RT) and repeated modified trapezoidal (RMT) schemes via Arithmetic Mean 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 are given to illustrate the effectiveness of the proposed method. 2010 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21490/1/Comparisons%20of%20Quadrature%20Schemes%20with%20Arithmetic%20Mean%20Iterative%20Method%20for%20Second%20Kind%20Linear%20Fredholm%20Integral%20Equations.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2010) Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations. Linear Fredholm equations, repeated trapezoidal, repeated modified trapezoidal, Arithmetic Mean. pp. 174-186. doi.org/10.22436/jmcs.001.03.06
spellingShingle QL Zoology
Mohana Sundaram Muthuvalu
Jumat Sulaiman
Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title_full Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title_fullStr Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title_full_unstemmed Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title_short Comparisons of Quadrature Schemes with Arithmetic Mean Iterative Method for Second Kind Linear Fredholm Integral Equations
title_sort comparisons of quadrature schemes with arithmetic mean iterative method for second kind linear fredholm integral equations
topic QL Zoology
url https://eprints.ums.edu.my/id/eprint/21490/1/Comparisons%20of%20Quadrature%20Schemes%20with%20Arithmetic%20Mean%20Iterative%20Method%20for%20Second%20Kind%20Linear%20Fredholm%20Integral%20Equations.pdf
work_keys_str_mv AT mohanasundarammuthuvalu comparisonsofquadratureschemeswitharithmeticmeaniterativemethodforsecondkindlinearfredholmintegralequations
AT jumatsulaiman comparisonsofquadratureschemeswitharithmeticmeaniterativemethodforsecondkindlinearfredholmintegralequations