Duc Trong Dang, Ngoc Lien Tran
We consider the problem of finding the initial temperature , from a countable set of measured values . The problem is severely ill-posed and a regularization is in order. Using the Hermite polynomials and coefficients of truncated Lagrange polynomials, we shall change the problem into an analytic interpolation problem and give explicitly a stable approximation. Error estimates and some numerical examples are given.
Submitted December 30, 2006. Published April 5, 2007.
Math Subject Classifications: 30E05, 33C45, 35K05.
Key Words: Discrete backward problem; truncated Lagrange polynomial; Hermite polynomial; interpolation problem.
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| Duc Trong Dang |
Department of Mathematics and Computer Sciences
Hochiminh City National University
227 Nguyen Van Cu, Hochiminh City, Vietnam
| Ngoc Lien Tran |
Faculty of Sciences, Cantho University
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