Research Article

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

Figure 1

Comparisons of numerical (dashed lines) and analytical solutions (solid lines) for test problem 1 computed using Algorithm 2.4: (a) 𝛼 = 0 . 5 , (b) 𝛼 = 1 . 0 , (c) 𝛼 = 1 . 5 , and (d) 𝛼 = 2 (classical case).
104525.fig.001a
(a)
104525.fig.001b
(b)
104525.fig.001c
(c)
104525.fig.001d
(d)