确定分离变量型系数的二维椭圆方程反问题数值解法

A Numerical Algorithm for Determining Inverse Problemsof the Separated Variable Coefficientsin 2-D Elliptic Equation

本文研究了识别二维椭圆方程分离变量型参数反问题的数值解法,用GPST(Generalized Pulse-Spectrum Technique)方法给出了数值计算格式,用ART(Alebraic Reconstruction Technique)算法来求解第一类弗雷德霍姆(Fredholm)积分方程的离散线性代数方程组,最后给出了数值模拟结果。

In this paper we study a iterative algorithm for determining inverse problems of the separated variable coefficients in 2-D elliptic equation. By using GPST the format of numerical computation has been presented. The discrete linear algebra equations of the first kind of Fredholm integral equation are solved by ART, and finally, the author lists the results of numerical simulation.