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A Modified Method for a Backward Heat Conduction Problem
Applied Mathematics and Computation, 2007The 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.
Zhi Qian, Chu-Li Fu
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Two Numerical Methods for Solving a Backward Heat Conduction Problem
Applied Mathematics and Computation, 2006Two stable numerical methods for the backward heat conduction problem are presented. The methods seem not new. The choice of the space-step in the central finite-difference method is not justified theoretically. The paper seems an academical numerical exercise.
Zhi Qian, Chu-Li Fu
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Some Filter Regularization Methods for a Backward Heat Conduction Problem
Applied Mathematics and Computation, 2011The authors propose some filter regularization methods for a backward heat conduction problem. Convergence estimates under a-priori bound assumptions for the exact solution are derived. Some theorems are proved. The method is illustrated by two numerical examples wherein the exact solutions are compared with the approximate solutions with certain ...
Ting Wei, Hai-Hua Qin
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Solving a Backward Heat Conduction Problem by Variational Method
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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