The Quarter-Sweep Geometric Mean Method for Solving Second Kind Linear Fredholm Integral Equations

被引：0
|
作者：
Muthuvalu, Mohana Sundaram [1 ]
Sulaiman, Jumat [2 ]
机构：
[1] Univ Teknol PETRONAS, Fac Sci & Informat Technol, Dept Fundamental & Appl Sci, Tronoh 31750, Perak, Malaysia
[2] Univ Malaysia Sabah, Sch Sci & Technol, Kota Kinabalu 88400, Sabah, Malaysia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 04期
关键词：
Fredholm integral equations; complexity reduction approach; Nystrom method; composite closed Newton-Cotes quadrature scheme; Geometric Mean method; dense nonsymmetric linear system;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Solving large linear systems is a fundamental problem in large scale scientific and engineering computations. In this paper, the formulation and implementation of the Quarter-Sweep Geometric Mean (QSGM) iterative method for solving large dense nonsymmetric linear systems associated with numerical solution of second kind linear Fredholm integral equations are explained. Furthermore, an analysis of computational complexity and numerical results by solving test problems are also included to verify the performance of the method.
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页码：1009 / 1026
页数：18
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