School of Science, Jiangnan University, Wuxi 214122, Jiangsu Province, P. R. China
Abstract
In the present paper we consider a time-fractional inverse diffusion problem, where data is given at $x=1$ and the solution is required in the interval $0<x<1$. This problem is typically ill-posed: the solution (if it exists) does not depend continuously on the data. We give the optimality analysis for this problem, and an optimal regularization method is also provided. Numerical examples show that this method works effectively.
Cheng, H., Gao, J., & Zhu, P. (2015). Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition. Bulletin of the Iranian Mathematical Society, 41(4), 825-834.
MLA
Cheng, H., Gao, J., & Zhu, P. "Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition", Bulletin of the Iranian Mathematical Society, 41, 4, 2015, 825-834.
HARVARD
Cheng H., Gao J., Zhu P. (2015). 'Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition', Bulletin of the Iranian Mathematical Society, 41(4), pp. 825-834.
CHICAGO
H. Cheng, J. Gao & P. Zhu, "Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition," Bulletin of the Iranian Mathematical Society, 41 4 (2015): 825-834,
VANCOUVER
Cheng H., Gao J., Zhu P. Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition. BIMS. 2015;41(4):825-834.
