journal article·2012-05-06Open access

Analytical-numerical solution of the inverse problem for the heat conduction equation

Michał Ciałkowski, Andrzej Maćkiewicz, Jan Kołodziej, Uwe Gampe, Andrzej Frąckowiak

Abstract

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.
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Research context

OpenAlex topics: Numerical methods in inverse problems · Thermoelastic and Magnetoelastic Phenomena · Composite Material Mechanics

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