Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 255, Issue -, Pages 28-43Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2013.04.035
Keywords
Fractional diffusion equation; Ill-posedness; Regularization; Optimal error estimate
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Funding
- National Natural Science Foundation of China [11001223]
- Research Fund for the Doctoral Program of Higher Education of China [20106203120001]
- Chinese Ministry of Education [212179]
- Doctoral Foundation of Northwest Normal University, China [5002-577]
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We consider a sideways problem for a fractional heat equation which is highly ill-posed. This study gives a new dynamic method for choosing a regularization parameter. By using the spectral methods, some convergence rates on the temperature and heat flow are given. For illustration, several numerical examples are constructed to show the feasibility and efficiency of the proposed methods. Comparing with the traditional stationary methods for choosing regularization parameter, the proposal methods are more accurate and effective. (C) 2013 Elsevier B.V. All rights reserved.
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