Notes on Implicit finite difference approximation for time fractional diffusion equations [Comput. Math. Appl. 56 (2008) 1138–1145]

In a recent paper [Diego A. Murio, Implicit finite difference approximation for time fractional diffusion equations, Comput. Math. Appl. 56 (2008) 1138–1145], the author has proposed an unconditional stable implicit difference scheme for solving time fractional diffusion equations. In this paper, we show that the method of stability analysis by the author is not accurate, so we analyze the stability by using a correct method.