| publication name | Numerical studies on dynamical systems method for solving ill-posed problems |
|---|---|
| Authors | N. H. Sweilam and A. M. Nagy |
| year | 2007 |
| keywords | Dynamical systems method; Variational regularization method; Ill-posed problems. |
| journal | The Australian Journal of Mathematical Analysis and Applications |
| volume | 4 |
| issue | 1 |
| pages | 1-7 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://ajmaa.org/cgi-bin/paper.pl?string=v4n1/V4I1P1.tex |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
n this paper, we apply the dynamical systems method proposed by A. G. RAMM, and the the variational regularization method to obtain numerical solution to some ill-posed problems with noise. The results obtained are compared to exact solutions. It is found that the dynamical systems method is preferable because it is easier to apply, highly stable, robust, and it always converges to the solution even for large size models.