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

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.