A New Variant of Arithmetic Mean Iterative Method for Fourth Order Integro-differential Equations Solution

被引：7

作者：

Aruchunan, E. ^{[1
]}

Wu, Y. ^{[1
]}

Wiwatanapataphee, B. ^{[1
]}

Jitsangiam, P. ^{[2
]}

机构：

[1] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

[2] Curtin Univ, Dept Civil Engn, Perth, WA 6845, Australia

来源：

2015 THIRD INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE, MODELLING AND SIMULATION (AIMS 2015) | 2015年

关键词：

Arithmetic Mean; system of equations; Fredholm equations; Integro-differential equations; VECTOR COMPUTER; SYSTEMS;

D O I：

10.1109/AIMS.2015.24

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduced a new variant called Modified Arithmetic Mean iterative method (MAM) from standard Arithmetic Mean (AM) iterative method for the solution of fourth order Fredholm Integro-differential equations. The proposed method has been derived with some relevant theories and proof to validate the convergence. In addition, the formulation and implementation of the proposed method in solving some well-posed problems are also presented and investigated based on a number of iterations, CPU time and Root Square Mean Error (RSME). Numerical simulation and comparisons have been carried out and scrutinised with Gauss-Seidel and standard AM iterative methods to validate the effectiveness of the proposed method.

引用

页码：82 / 87

页数：6

共 19 条

[1] Quarter-Sweep Iteration Concept on Conjugate Gradient Normal Residual Method via Second Order Quadrature - Finite Difference Schemes for Solving Fredholm Integro-Differential Equations
Aruchunan, Elayaraja
Muthuvalu, Mohana Sundaram
Sulaiman, Jumat
[J]. SAINS MALAYSIANA, 2015, 44 (01): : 139 - 146
[2] Benzi M., 1995, PARALLEL ALGORITHMS, V6, P25, DOI [10.1080/10637199508915496, DOI 10.1080/10637199508915496]
[3] Cai F., 2010, P 3 INT C ADV COMP T, P378
[4] THE MODIFIED ALTERNATING GROUP EXPLICIT (MAGE) METHOD
EVANS, DJ
YOUSIF, WS
[J]. APPLIED MATHEMATICAL MODELLING, 1988, 12 (03) : 262 - 267
[5] THE ALTERNATING GROUP EXPLICIT (AGE) MATRIX ITERATIVE METHOD
EVANS, DJ
[J]. APPLIED MATHEMATICAL MODELLING, 1987, 11 (04) : 256 - 263
[6] The two-stage arithmetic mean method
Galligani, E
Ruggiero, V
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1997, 85 (2-3) : 245 - 264
[7] THE ARITHMETIC MEAN METHOD FOR SOLVING ESSENTIALLY POSITIVE SYSTEMS ON A VECTOR COMPUTER
GALLIGANI, I
RUGGIERO, V
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 32 (1-2) : 113 - 121
[8] Successive overrelaxation (SOR) and related methods
Hadjidimos, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 123 (1-2) : 177 - 199
[9] Kress R, 1998, Numerical analysis
[10] Muthuvalu M. S., 2013, APPL NUMERICAL MATH, P67

← 1 2 →