A smoothing spline-based regularization of the initial inverse problem in a two-dimensional heat equation
2008 ◽
Vol 223
(2)
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pp. 439-449
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Keyword(s):
A smoothing spline-based method and a hyperbolic heat conduction model is applied to regularize the recovery of the initial profile from a parabolic heat conduction model in two-dimensions. An ill-posed inverse problem involving recovery of the initial temperature distribution from measurements of the final temperature distribution is investigated. A hyperbolic heat conduction model is considered instead of a parabolic model and smoothing splines are applied to regularize the recovered initial profile. The comparison of the proposed procedure and parabolic model is presented graphically by examples.
2010 ◽
Vol 13
(6)
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pp. 529-535
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2003 ◽
Vol 42
(Part 1, No. 8)
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pp. 5383-5386
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2004 ◽
Vol 25
(3)
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pp. 931-947
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Keyword(s):
2016 ◽
Vol 25
(1)
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pp. 41-56
2001 ◽
Vol 242
(4)
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pp. 629-640
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2004 ◽
Vol 43
(10)
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pp. 959-965
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Keyword(s):
2005 ◽
Vol 26
(3)
◽
pp. 905-918
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2004 ◽
Vol 47
(1)
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pp. 138-147
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