A Numerical Solution Using an Adaptively Preconditioned Lanczos Method for a Class of Linear Systems Related with the Fractional Poisson Equation

Figure 4

Comparisons of numerical (dashed line) and analytical solutions (solid line) for test problem 2 computed using Algorithm 2.4: (a) 𝛼=0.5, (b) 𝛼=1.0, (c) 𝛼=1.5, and (d) 𝛼=2 (classical case).

(a)

(b)

(c)

(d)