An Explicit Numerical Method for the Fractional Cable Equation

Figure 2

Numerical solution at the mid-point 𝑥=0 (hollow symbols) and 𝑥=0.5 (filled symbols) of the fractional cable equation for 𝛾₁=1/2 and 𝛾₂=1 (squares) and 𝛾₂=1/2 (circles) with Δ𝑥=1/10, Δ𝑡=10⁻⁵, 𝐾=𝜇=1, and 𝐿=5. Lines are the exact solutions given by (2.14).