A second order box-type scheme for fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 The numerical convergence orders in spatial direction with \(\pmb{\tau=\frac{1}{10{,}000}}\)

h	α = 0.1		α = 0.5		α = 0.9
h	\(\boldsymbol{E_{\infty}(h,\tau)}\)	Order( h )	\(\boldsymbol{E_{\infty}(h,\tau)}\)	Order( h )	\(\boldsymbol{E_{\infty}(h,\tau)}\)	Order( h )
1/8	7.8990e−002	*	6.9592e−002	*	5.8868e−002	*
1/16	1.9618e−002	2.0095	1.7280e−002	2.0098	1.4612e−002	2.0103
1/32	4.8964e−003	2.0024	4.3128e−003	2.0024	3.6464e−003	2.0026
1/64	1.2236e−003	2.0006	1.0778e−003	2.0005	9.1120e−004	2.0006