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Author Sweilam, N.H.en_US
Author Nagy, A.M.en_US
Author Alnasr, M.H.en_US
Available date 2009-12-27T05:38:22Zen_US
Publication Date 2009-06-12en_US
Publication Name Computers & Mathematics with Applications
Identifier http://dx.doi.org/10.1016/j.camwa.2009.06.040
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), 1418–1424en_US
URI http://hdl.handle.net/10576/10457en_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 enen_US
Publisher Elsevieren_US
Subject Dynamical systems method (DSM)en_US
Subject Variational regularization method (VRM)en_US
Subject Ill-posed problemsen_US
Title An efficient dynamical systems method for solving singularly perturbed integral equations with noiseen_US
Type Articleen_US


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