An efficient dynamical systems method for solving singularly perturbed integral equations with noise

Show simple item record

Author Sweilam, N.H. en_US
Author Nagy, A.M. en_US
Author Alnasr, M.H. en_US
Available date 2009-12-27T05:38:22Z en_US
Publication Date 2009-06-12 en_US
Citation Sweilam, N. H., Nagy, A. M., & Alnasr, M. H. (2009). An efficient dynamical systems method for solving singularly perturbed integral equations with noise. Computers & Mathematics with Applications, 58(7), 1418–1424 en_US
URI http://dx.doi.org/10.1016/j.camwa.2009.06.040 en_US
URI http://hdl.handle.net/10576/10457 en_US
Abstract In this paper we apply the dynamical systems method (DSM) proposed by A. G. Ramm, and the variational regularization method (VRM), to obtain numerical solution to some singularly perturbed ill-posed problems contaminated by noise. The results obtained by these methods are compared to the exact solution for the model problems. 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. en_US
Language en en_US
Publisher Elsevier en_US
Subject Dynamical systems method (DSM) en_US
Subject Variational regularization method (VRM) en_US
Subject Ill-posed problems en_US
Title An efficient dynamical systems method for solving singularly perturbed integral equations with noise en_US
Type Article en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record