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|Title:||Showalter regularization of a singularly perturbed PDE|
|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.|
|Appears in Collections:||Articles|
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