The Reconstruction of Heat Flux in Moving Boundary in 1-Dimensional Heat Conduction

Xue Yan Zhang; Feng Huang

doi:10.4028/www.scientific.net/AMR.156-157.237

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 156-157The Reconstruction of Heat Flux in Moving Boundary...

The Reconstruction of Heat Flux in Moving Boundary in 1-Dimensional Heat Conduction

Abstract:

Consider the reconstruction problem for the heat flux in moving boundary in heat conduction.By introducing a density function for potential method, this problem is essentially converted into solving an integral equation of the first kind with respect to the density function,which can be solved by the Tikhonov regularizing method. Model function method is used to determine the regularizing parameter. Numerical results are presented to support our inversion schemes.

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Advanced Materials Research (Volumes 156-157)

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237-240

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.156-157.237

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Online since:

October 2010

Authors:

Xue Yan Zhang, Feng Huang

Keywords:

Linear Inverse Problem, Model Function Method, Regularization Parameter

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