Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials

We consider the problem of finding the initial temperature $u(x,0)$, from a countable set of measured values ${ u(x_j,1)}$. 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 proble...

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Bibliographic Details
Main Authors: Duc Trong Dang, Ngoc Lien Tran
Format: Article
Language:English
Published: Texas State University 2007-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/51/abstr.html