Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
复制标题
求解一阶线性 Fredholm 积分微分方程的四分之一扫描高斯-赛德尔法
DOI：
10.11113/matematika.v27.n.308
复制
发表时间：
2011
期刊：
影响因子：
0.8
通讯作者：
J. Sulaiman
中科院分区：
文献类型：
--
作者：
E. Aruchunan;J. Sulaiman
本文的目的是审查的四分之一扫描高斯-赛德尔（QSGS）方法的应用，使用四分之一扫描近似方程的基础上向后差分（BD）和重复梯形（RT）公式求解一阶线性Fredholm积分微分方程。全扫描高斯-赛德尔（FSGS）和半扫描高斯-赛德尔（HSGS）迭代方法的制定和实施。通过数值试验，与FSGS和HSGS方法进行了比较，证明了QSGS方法的有效性。
关键词：积分微分方程;线性Fredholm方程;有限差分;求积公式;四分之一扫描迭代
2010年数学学科分类45 J 05; 65 F10; 65 Y20。
The purpose of this paper is to scrutinize the application of the Quarter-Sweep Gauss-Seidel (QSGS) method by using the quarter-sweep approximation equation based on backward difference (BD) and repeated trapezoidal (RT) formulas to solve first order linear Fredholm integro-differential equations. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half-Sweep Gauss-Seidel (HSGS) iterative methods are also presented. Then some numerical tests are illustrated to show the effectiveness of QSGS method as compared to the FSGS and HSGS methods.
Keywords: Integro-differential equations; Linear Fredholm equations; Finite difference; Quadrature formulas; Quarter-Sweep iteration.
2010 Mathematics Subject Classification 45J05; 65F10; 65Y20.