The Australian Journal of Mathematical Analysis and Applications

Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  


Paper Information

Paper Title:

On the Numerical Solution for Deconvolution Problems with Noise


N. H. Sweilam

Cairo University, Faculty of Science, Mathematics Department,
Giza, Egypt.


In this paper three different stable methods for solving numerically deconvolution problems with noise are studied. The methods examined are the variational regularization method, the dynamical systems method, and the iterative regularized processes. Gravity surveying problem with noise is studied as a model problem. The results obtained by these methods are compared to the exact solution for the model problem. It is found that these three methods are highly stable methods and always converge to the solution even for large size models. The relative higher accuracy is obtained by using the iterative regularized processes.

Full Text PDF:

2004-2023 Austral Internet Publishing