The solving of problem is transformed to solving the first kind Fredholm integral equation. The Tikhonov regularization method is used to solve the ill-posed integral equation problem. Based on the conditional stability, a stabilized algorithm is presented. 该问题可转化为第一类Fredholm积分方程的求解,为了克服该问题数值求解的不适定性,采用Tikhonov正则化策略进行求解,并基于条件稳定性进行了算法设计。