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Title: Showalter regularization of a singularly perturbed PDE
Authors: Singh, A.
Sheela, S.
Keywords: Singular perturbation
Issue Date: 2004
Citation: Applied Mathematics and Computation, 158(1), 19-28
Abstract: In this paper, we consider an elliptic partial differential equation where a small parameter is multiplied with one or both of the second derivatives. Viewing it as an ill-posed problem, Showalter's regularization method is applied to approximate the solution. Convergence of the regularized solution to the original is proved. A numerical example has been included for illustrating the method.
ISSN: 963003
Appears in Collections:Articles

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