The source term identification of the time-fractional diffusion equation
under Robin boundary condition is studied. This problem is ill-posed.
Therefore, we apply Landweber iterative regularization method,
Fractional Landweber iterative regularization method, TSVD method,
combining TSVD method and Fractional Landweber iterative regularization
method, respectively. The comparisons of these four methods are given,
which can help us select the most effective method. The error estimates
between the regularized approximate solutions and the exact solution are
given under the a priori and a posteriori regularization parameter
choice rules. Finally, numerical examples verify the effectiveness of
the methods.