IDENTIFYING THE SOURCE TERM AND THE INITIAL VALUE SIMULTANEOUSLY FOR FRACTIONAL DIFFUSION EQUATION ON SPHERICALLY SYMMETRIC DOMAIN WITH C-H DERIVATIVE
DOI:
https://doi.org/10.5281/7xwhec03Abstract
In this paper, we consider the reconstruct the source function and the initial for
fractional diffusion equation on spherically symmetric domain. The problem is non-well-posed.
Based on the Exponential Tikhonov Regularization method, we show the regularized solution,
and provided the convergence rates between the regularized and the exact solution under an a
priori parameter choice rule and an a posteriori parameter choice rule are obtained.
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