Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations

Figure 1

The behavior of the 𝑈(𝑥,𝑦,𝑡) with respect to 𝑥 and 𝑡 is obtained with 𝑦=1 and ℎ=1, when (a) 𝛼=0.5; (b) 𝛼=0.75; (c) 𝛼=1; (d) exact solution.

(a)

(b)

(c)

(d)