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AuthorSweilam, N.H.
AuthorNagy, A.M.
AuthorAlnasr, M.H.
Available date2009-12-27T05:38:22Z
Publication Date2009-06-12
Publication NameComputers & Mathematics with Applications
Identifierhttp://dx.doi.org/10.1016/j.camwa.2009.06.040
CitationSweilam, 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
URIhttp://hdl.handle.net/10576/10457
AbstractIn 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.
Languageen
PublisherElsevier
SubjectDynamical systems method (DSM)
SubjectVariational regularization method (VRM)
SubjectIll-posed problems
TitleAn efficient dynamical systems method for solving singularly perturbed integral equations with noise
TypeArticle


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