A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes

Figure 1

(a) The approximate solutions of Example 5.1 by the proposed method when 𝑁=32,  𝑀=32, and 𝛼=0.5. (b) The errors for some values of 𝑀 and 𝑁 when 𝑡=1 and 𝛼=0.5.

(a)

(b)