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Analytical-numerical
solution of the inverse problem for the heat conduction
equation
Michał Ciałkowski, Andrzej Maćkiewicz, Jan Adam Kołodziej, Uwe Gampe and Andrzej Frąckowiak |
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Vol. 7 (2012), No. 3, 239–253
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Abstract |
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The solution of the inverse problem for the transient heat transfer equation is considered. The partial differential equation was discretized with respect to the space variable, and a system of ordinary differential equations of first order was obtained. The solution of the system of equations has a wave form. The numerical results obtained from the solution of the inverse problem confirm the effectiveness of the proposed method. |
Keywords
inverse problems, stability, matrix exponential,
sensitivity analysis, transient heat transfer equation
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Milestones
Received: 14 October 2010
Revised: 16 January 2012
Accepted: 3 April 2012
Published: 6 May 2012
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Authors |
| Michał Ciałkowski | |
| Chair of Thermal Engineering Poznan University of Technology ul. Jana Pawla II 24 60-965 Poznan Poland |
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| Andrzej Maćkiewicz | |
| Institute of Mathematics Poznan University of Technology ul. Jana Pawla II 24 60-965 Poznan Poland |
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| Jan Adam Kołodziej | |
| Institute of Applied Mechanics Poznan University of Technology ul. Jana Pawla II 24 60-965 Poznan Poland |
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| Uwe Gampe | |
| Institut für Energietechnik Technische Universität Dresden Helmholtzstraße 14 01069 Dresden Germany |
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| Andrzej Frąckowiak | |
| Chair of Thermal Engineering Poznan University of Technology 60-965 Poznan Poland |
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