TITLE:
Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient
AUTHORS:
Hongwu Zhang, Xiaoju Zhang
KEYWORDS:
Ill-Posed Problem, Backward Heat Conduction Problem with Variable Coefficient, Iterative Method, Truncated Technique, Convergence Estimate
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.4,
April
27,
2015
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.