Comparisons of Quadrature Schemes With Arithmetic Mean Iterative Method For Second Kind Linear Fredholm Integral Equations
Author(s) -
Mohana Sundaram Muthuvalu,
Jumat Sulaiman
Publication year - 2010
Publication title -
journal of mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2008-949X
DOI - 10.22436/jmcs.001.03.06
Subject(s) - fredholm integral equation , mathematics , quadrature (astronomy) , integral equation , nyström method , mathematical analysis , iterative method , mathematical optimization , physics , optics
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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