scholarly journals Comparisons of Quadrature Schemes With Arithmetic Mean Iterative Method For Second Kind Linear Fredholm Integral Equations

2010 ◽  
Vol 01 (03) ◽  
pp. 174-186
Author(s):  
M. S. Muthuvalu ◽  
J. Sulaiman
Keyword(s):  
Iterative Method ◽  
Integral Equations ◽  
Arithmetic Mean ◽  
Fredholm Integral Equations

Performance analysis of Arithmetic Mean method for solving composite 6-point closed Newton–Cotes quadrature algebraic equation

2019 ◽  
Vol 12 (04) ◽  
pp. 1950061
Author(s):  
Mohana Sundaram Muthuvalu ◽  
Emanuele Galligani ◽  
Majid Khan Majahar Ali ◽  
Jumat Sulaiman ◽  
Ramoshweu Solomon Lebelo
Keyword(s):  
Performance Analysis ◽  
Linear System ◽  
Iterative Method ◽  
Integral Equations ◽  
Algebraic Equation ◽  
Arithmetic Mean ◽  
Numerical Results ◽  
Fredholm Integral Equations ◽  
Dense Linear System

The main focus of the paper is to study the performance of Arithmetic Mean (AM) iterative method in solving large and nonsingular dense linear system arising from the composite 6-point closed Newton–Cotes quadrature (6-CCNC) approximation of inhomogeneous linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. Some numerical results are also presented.

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