Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations

Table 1

Temporal errors and convergence orders with 𝛼=1.3.

𝜏	𝐿^∞-error	Order	𝐿^2-error	Order
1/10	7.589394𝐸−04		5.363813𝐸−04
1/20	2.352470𝐸−04	1.6898084	1.662599𝐸−04	1.6898189
1/40	7.279201𝐸−05	1.6923243	5.144424𝐸−05	1.6923586
1/80	2.252242𝐸−05	1.6924183	1.591604𝐸−05	1.6925284
1/160	6.961152𝐸−06	1.6939638	4.918054𝐸−06	1.6943215
1/320	2.144986𝐸−06	1.6983580	1.514220𝐸−06	1.6995127
1/640	6.553662𝐸−07	1.7105947	4.614370𝐸−07	1.7143693