Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient


We consider a backward heat conduction problem (BHCP) with variable coefficient. This problem is severely ill-posed in the sense of Hadamard and the regularization techniques are required to stabilize numerical computations. We use an iterative method based on the truncated technique to treat it. Under an a-priori and an a-posteriori stopping rule for the iterative step number, the convergence estimates are established. Some numerical results show that this method is stable and feasible.

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Zhang, H. and Zhang, X. (2015) Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient. Open Access Library Journal, 2, 1-11. doi: 10.4236/oalib.1101501.

Conflicts of Interest

The authors declare no conflicts of interest.


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