Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

Figure 1

The approximate solution obtained by the variational iteration method (38) shown in (a) in comparison with that of the approximate solutions obtained by homotopy perturbation method (32) shown in (b) when 𝛼=1, 𝛽=1, −5<𝑥<5, and 0<𝑡<1.

(a)

(b)