International Journal of Functional Analysis, Operator Theory and Applications
Volume 1, Issue 2, Pages 177 - 187
(December 2009)
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ON LAVRENTIEV’S REGULARIZATION FOR SOLVING
FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND
M. P. Rajan
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Abstract:
In this paper, we study the convergence analysis of the finite dimensional approximation combined with Lavrentiev’s regularization for solving Fredholm integral equations of the first kind. We follow a general approach and deduce some of the results established in literature as special cases of our analysis. Error estimates are derived under an a priori parameter choice strategy and the theoretical results are illustrated numerically. |
| Keywords and phrases: ill-posed problems, Lavrentiev’s regularization, integral equations. |
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