On a fractional backward heat conduction problem: Application to deblurring

Authors:
Ming Li;Xiangtuan Xiong
Affiliations:
Department of Mathematics, Taiyuan University of Technology, Shanxi, China;Department of Mathematics, Northwest Normal University, Gansu, China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this paper, we consider a fractional backward heat conduction problem (FBHCP) in the two-dimensional space which is associated with a deblurring problem. From three different perspectives, we give all kinds of regularization methods. Based on a general form of regularization methods, we devise some new methods. Deblurring experiment shows that the new regularization methods work well for restoration of images.