A modified method for a backward heat conduction problem

We consider a backward heat conduction problem in a strip, where data is given at the final time t = T( T > 0) and a solution for 0 ⩽ t < T is sought. The problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In order to numerically solve t...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 185; no. 1; pp. 564 - 573
Main Authors:	Qian, Zhi, Fu, Chu-Li, Shi, Rui
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01.02.2007 Elsevier
Subjects:	Backward heat conduction Exact sciences and technology Ill-posedness Mathematical analysis Mathematics Modified method Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Regularization Sciences and techniques of general use Regularization Modified method Ill-posedness Backward heat conduction s: Backward heat conduction Approximation Error estimation Numerical linear algebra Regularization method Numerical analysis Third order equation Applied mathematics Numerical solution Ill posed problem
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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