A fast iterative method for solving ill-posed integral equations based on the optimal projection method. (Chinese. English summary) Zbl 1240.65379
Summary: An adaptive discretization Tikhonov iterative method is established for solving an ill-posed integral equation based on the optimization of the projection method. Compared with the usual projection technique, we obtain the best order to accuracy, but less inner products. Also, a posteriori parameter choice strategy is proposed. Finally, numerical experiments are given to illustrate the efficiency of the method.
MSC:
65R20 | Numerical methods for integral equations |
65R30 | Numerical methods for ill-posed problems for integral equations |
45B05 | Fredholm integral equations |
45A05 | Linear integral equations |