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Determination temperature of a backward heat equation with time-dependent coefficients

โœ Scribed by Nguyen Huy Tuan, Ngo Van Hoa

Book ID
119932432
Publisher
SP Versita
Year
2012
Tongue
English
Weight
179 KB
Volume
62
Category
Article
ISSN
0139-9918

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We introduce the truncation method for solving a backward heat conduction problem with time-dependent coefficients. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove t

Finite element of the heat conduction eq
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A finite element formulation is derived for the equation of heat conduction with temperature dependent conductivity and heat capacity. The derivation of the finite element model is based on a variational formulation of the heat conduction equation which, together with generalized coordinates, yields