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A modified method for a backward heat conduction problem. (English) Zbl 1112.65090
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.

MSC:
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
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