Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials
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Date
2007-04-05
Authors
Dang, Duc Trong
Tran, Ngoc Lien
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider the problem of finding the initial temperature u(x, 0), from a countable set of measured values { u(xj, 1)}. 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.
Description
Keywords
Discrete backward problem, Truncated Lagrange polynomial, Hermite polynomial, Interpolation problem
Citation
Dang, D. T., & Tran, N. L. (2007). Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials. <i>Electronic Journal of Differential Equations, 2007</i>(51), pp. 1-14.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.