Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region

Xiao-Li Feng, Zhi Qian and Chu-Li Fu

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 2, 177-188

Abstract: In this paper we consider a numerical approximation of solution of nonhomogeneous backward heat conduction problem (BHCP) in bounded region based on Tikhonov regularization method. Error estimate at t=0 for this method is provided. According to the error estimate, a selection of regularization parameter is given. Meanwhile, a numerical implementation is described and the numerical results show that our algorithm is effective.

Keywords: Backward heat conduction; Ill-posed problem; Tikhonov regularization; Error estimate (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:2:p:177-188

DOI: 10.1016/j.matcom.2007.11.005

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