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Zbl 1112.65090
Qian, Zhi; Fu, Chu-Li; Shi, Rui
A modified method for a backward heat conduction problem. (English)
[J] Appl. Math. Comput. 185, No. 1, 564-573 (2007). ISSN 0096-3003

The authors introduce a new method to consider the ill-posed problem of the backward heat conduction. Several theorems for convergence and error analysis are developed, unfortunately, asymptotic error estimate could not be proved. The developed method is illustrated by numercal experiments.
[Prabhat Kumar Mahanti (Saint John)]

MSC 2000:: *65M30 Improperly posed problems (IVP of PDE, numerical methods)
65M60 Finite numerical methods (IVP of PDE)
65M15 Error bounds (IVP of PDE)
65M12 Stability and convergence of numerical methods (IVP of PDE)
35K05 Heat equation

Keywords: backward heat conduction; regularization; ill posed problem; convergence; error analysis; numerical experiments

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