An optimal regularization method for space-fractional backward diffusion problem

作者：Zhang Z Q; Wei T^*

来源：Mathematics and Computers in Simulation, 2013, 92: 14-27.

DOI：10.1016/j.matcom.2013.04.008

• Ill-posed problem
• Space-fractional backward diffusion problem
• Regularization
• Optimal error estimate
• Discrepancy principle

In this paper, a space-fractional backward diffusion problem (SFBDP) in a strip is considered. By the Fourier transform, we proposed an optimal modified method to solve this problem in the presence of noisy data. The convergence estimates for the approximate solutions with the regularization parameter selected by an a priori and an a posteriori strategy are provided, respectively. Numerical experiments show that the proposed methods are effective and stable.

• 出版日期2013-6
• 单位兰州大学