A truncation regularization method for a time fractional diffusion equation with an in-homogeneous source

ITM Web of Conferences

关键词: Ill-posed problem;    time fractional diffusion equation;    regularization;    regularized truncation method;   

DOI  :  10.1051/itmconf/20182002007

来源: DOAJ

【 摘 要 】

In the present paper, we consider a time-fractional inverse diffusion problem with an in-homogeneous source, where data is given at x = 1 and the solution is required in the interval 0 < x < 1. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We propose a regularization method to solve it based on the solution given by the Fourier method.

【 授权许可】

Unknown