Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2020, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2020/5865971
Keywords
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Funding
- National Natural Science Foundation of China [11871198]
- Fundamental Research Funds for the Universities of Heilongjiang Province Heilongjiang University Special Project [RCYJTD201804]
- National Science Foundation of Hebei Province [A2017501021]
- Fundamental Research Funds of the Central Universities [N182304024]
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In this paper, we consider a two-dimensional (2D) time-fractional inverse diffusion problem which is severely ill-posed; i.e., the solution (if it exists) does not depend continuously on the data. A modified kernel method is presented for approximating the solution of this problem, and the convergence estimates are obtained based on both a priori choice and a posteriori choice of regularization parameters. The numerical examples illustrate the behavior of the proposed method.
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