TITLE

A modified Tikhonov regularization method for an axisymmetric backward heat equation

AUTHOR(S)
Cheng, Wei; Chu Li Fu
PUB. DATE
November 2010
SOURCE
Acta Mathematica Sinica;Nov2010, Vol. 26 Issue 11, p2157
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper deals with the inverse time problem for an axisymmetric heat equation. The problem is ill-posed. A modified Tikhonov regularization method is applied to formulate regularized solution which is stably convergent to the exact one. Meanwhile, a logarithmic-Hölder type error estimate between the approximate solution and exact solution is obtained by introducing a rather technical inequality and improving a priori smoothness assumption.
ACCESSION #
54087304

 

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