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

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

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dc.contributor.author Sweilam, N.H.
dc.contributor.author Nagy, A.M.
dc.contributor.author Alnasr, M.H.
dc.date.accessioned 2009-12-27T05:37:12Z
dc.date.available 2009-12-27T05:37:12Z
dc.date.issued 2009-06-12
dc.identifier.citation Volume 58, Issue 7, October 2009, Pages 1418-1424 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.camwa.2009.06.040
dc.identifier.uri http://hdl.handle.net/10576/10456
dc.description.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
dc.language.iso en en_US
dc.subject Dynamical systems method (DSM) en_US
dc.subject Variational regularization method (VRM) en_US
dc.subject Ill-posed problems en_US
dc.title An efficient dynamical systems method for solving singularly perturbed integral equations with noise en_US
dc.type Article en_US

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