解二维第一类积分方程的正则化方法

Regularization Methods for Solving Integral Equation of the First Kind in Two Dimensions

采用修改的Tikhonov正则化方法,提出了一种新的求二维第一类积分方程数值解的计算方法,并证明了解的存在唯一性,给出了算例,说明了算法的有效性.

In this paper, a new method is proposed for computing numerical solution for integral equation of the first kind in two dimensions by using a modificatory Tikhonov regularization, and the proof of the existence and uniqueness of the solution is given. Numerical experiment is presented to indicate the efficient of our algorithm.