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

Volume 1, Issue 3, pp 174--186 http://dx.doi.org/10.22436/jmcs.001.03.06

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Authors

Mohana Sundaram Muthuvalu - School of Science and Technology, Universiti Malaysia Sabah, Locked Bag 2073, 88999 Kota Kinabalu, Sabah, Malaysia Jumat Sulaiman - School of Science and Technology, Universiti Malaysia Sabah, Locked Bag 2073, 88999 Kota Kinabalu, Sabah, Malaysia

Abstract

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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Keywords

• Linear Fredholm equations
• repeated trapezoidal
• repeated modified trapezoidal
• Arithmetic Mean

MSC

•  41A55
•  45A05
•  45B05
•  65D32
•  65F10

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