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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Veröffentlicht in:	Numerical heat transfer. Part A, Applications Jg. 57; H. 9; S. 691 - 708
Hauptverfasser:	Masood, K., Yousuf, M.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Philadelphia Taylor & Francis Group 03.06.2010 Taylor & Francis Ltd
Schlagworte:	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-Zugang:	Volltext
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