Figure 2.

Numerical solutions of equation (2.1) at time T for different values of the parameters α and λ. The initial condition is a Gaussian function (black curve—note that the vertical axis is in log scale, giving the Gaussian a parabolic appearance). When α = 2 (blue curve), the tails of the solution decay exponentially. However, as soon as α is smaller than 2, the tails of the solution decay like a power law (red curves). The power-law decay of the model solution can be controlled by increasing the value of the truncation parameter λ. (Online version in colour.)