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.

引用

页码：1009 / 1026

页数：18

共 17 条

[1] THE 4 POINT EXPLICIT DECOUPLED GROUP (EDG) METHOD - A FAST POISSON SOLVER
ABDULLAH, AR
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1991, 38 (1-2) : 61 - 70
[2] Atkinson KE., 1996, Cambridge Monographs on Applied and Computational Mathematics
[3] Fast collocation methods for second kind integral equations
Chen, ZY
Micchelli, CA
Xu, YS
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 40 (01) : 344 - 375
[4] Lattice-Nystrom method for Fredholm integral equations of the second kind with convolution type kernels
Dick, Josef
Kritzer, Peter
Kuo, Frances Y.
Sloan, Ian H.
[J]. JOURNAL OF COMPLEXITY, 2007, 23 (4-6) : 752 - 772
[5] Kress R., 1998, GRADUATE TEXTS MATH, V181
[6] Numerical expansion methods for solving integral equations by interpolation and Gauss quadrature rules
Maleknejad, K
Lotfi, T
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 111 - 124
[7] The method of moments for solution of second kind Fredholm integral equations based on B-spline wavelets
Maleknejad, K.
Sahlan, M. Nosrati
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (07) : 1602 - 1616
[8] Muthuvalau MS, 2008, INTERNATIONAL SYMPOSIUM OF INFORMATION TECHNOLOGY 2008, VOLS 1-4, PROCEEDINGS, P1927
[9] Muthuvalu M. S., 2007, P 3 IMT GT REG C MAT, P274
[10] Half-Sweep Arithmetic Mean method with composite trapezoidal scheme for solving linear Fredholm integral equations
Muthuvalu, Mohana Sundaram
Sulaiman, Jumat
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5442 - 5448

← 1 2 →