A Boundary Movement Identification Method for a Parabolic Partial Differential Equation

Tom P. Fredman ()
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Tom P. Fredman: Åbo Akademi University, Heat Engineering Laboratory

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 336-345 from Springer

Abstract: Summary We study boundary movement identification for a parabolic partial differential equation describing a dynamic diffusion process, on basis of internally recorded data. Formulated as a sideways diffusion equation, the problem is treated by a spatial continuation technique to extend the solution to a known boundary condition at the desired boundary position. Recording the positions traversed in the continuation for each time instant yields the boundary position trajectory and hence the solution of the identification problem. As the problem is ill-posed, a hyperbolic approximation approach is used to regularize the computation and recast the equations into a form amenable to analysis.

Keywords: Parabolic Partial Differential Equation; Inverse Heat Conduction Problem; Boundary Identification; Solution Boundary Condition; Parabolic Differential Equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_31

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DOI: 10.1007/978-3-642-18775-9_31

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