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

Hongwu Zhang^*, Xiaoju Zhang

School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, China.

DOI: 10.4236/oalib.1101501                

Abstract

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.

Keywords

Ill-Posed Problem, Backward Heat Conduction Problem with Variable Coefficient, Iterative Method, Truncated Technique, Convergence Estimate

Conflicts of Interest

The authors declare no conflicts of interest.

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