求解三维第一类Fredholm积分方程的GMRES法  

Fredholm Integral Equations for Solving the First Class of Three-dimensional GMRES Method

作　　者：闵涛[1] 赵苗苗[1] 

机构地区：[1]西安理工大学理学院,西安710054

出　　处：《应用泛函分析学报》2012年第3期234-238,共5页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(50979088)

摘　　要：利用数值求积公式,将三维第一类Fredholm积分方程进行离散,通过引入正则化方法,将离散后的积分方程转化为一离散适定问题,通过广义极小残余算法得到了其数值解.数值模拟结果表明该方法的可行有效性.Using numerical integration formula, the three-dimensional Fredholm integral equation was discrete. By introducing the regularization method, the discredited integral equation was transformed into a posed problem of discrete and the numerical solution was obtained by generalized minimal residual algorithm. The simulation results show that the method is feasible and effective.

关 键 词：正则化 FREDHOLM积分方程 广义极小残余算法 

分 类 号：O241.8[理学—计算数学]