Solution of the Initial Inverse Problems in the Heat Equation Using the Finite Difference Method with Positivity-Preserving Padé Schemes

The classical inverse problem of recovering the initial temperature distribution from the final temperature distribution is extremely ill-posed. We propose a class of numerical schemes based on positivity-preserving Padé approximations to solve initial inverse problems in the heat equation. We also...

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Bibliographic Details

Published in:	Numerical heat transfer. Part A, Applications Vol. 57; no. 9; pp. 691 - 708
Main Authors:	Masood, K., Yousuf, M.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis Group 03.06.2010 Taylor & Francis Ltd
Subjects:	Approximation Finite difference method Heat equations Heat transfer Inverse problems Mathematical analysis Mathematical models Numerical analysis Pade approximation Recovering Temperature Temperature distribution
ISSN:	1040-7782, 1521-0634
Online Access:	Get full text
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