In this paper,we discuss the multiscale collocation method for solving Fredholm integral equation of the first kind.In the case that the integral operator is a sectorial compact operator,firstly the discrete iterative regularization equation is solved by using the multiscale collocation method with matrix compression strategy,then the error estimate of the discrete approximate solution is given and the selection method of iterative stopping criterion is proposed to ensure the optimal convergence rate of solution.Finally,numerical experiments are given to illustrate the efficiency of the proposed algorithm.
分享
引用
