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• W2247137638 abstract "We consider an inverse problem for estimating an unknown heat conductivity param- eter α(t) in a heat conduction equation Tt(x,t )= α(t)Txx(x,t) with the aid of an extra measurement of temperature gradient on boundary. Basing on an establishment of the one-step Lie-group ele- ments G(r) and G(� ) for the semi-discretization of heat conduction equation in time domain, we can derive algebraic equationsfrom G(r )= G(� ). The new method, namely the Lie-group estima- tion method (LGEM), is examined through nu- merical examples to convince that it is highly ac- curate and efficient; the maximum estimation er- ror is smaller than 10 −5 for smooth parameter and for discontinuous and oscillatory parameter the accuracy is still in the order of 10 −2 . Although" @default.
• W2247137638 created "2016-06-24" @default.
• W2247137638 creator A5090276712 @default.
• W2247137638 date "2008-04-01" @default.
• W2247137638 modified "2023-09-27" @default.
• W2247137638 title "An LGEM to Identify Time-Dependent Heat Conductivity Function by an Extra Measurement of Temperature Gradient" @default.
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• W2247137638 doi "https://doi.org/10.3970/cmc.2008.007.081" @default.
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