We consider a backward ill-posed problem for an axis-symmetric fractional diffusion equation which is described in polar coordinates. A closed form solution of the inverse problem is obtained. However, this solution blows up. For numerical stability, a general regularization principle is presented for constructing regularization methods. Several numerical examples are conducted for showing the validity and effectiveness of the proposed methods.
Xiong, X., & Ma, X. (2017). A Backward Identification Problem for an Axis-Symmetric Fractional Diffusion Equation. Mathematical Modelling and Analysis, 22(3), 311-320. https://doi.org/10.3846/13926292.2017.1309329
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