Recover the solute concentration from source measurement and boundary data

Figures & data

Figure 1. The exact solution and the regularized solution with $\mathit{\alpha }=0.3$.

Figure 2. The exact solution and the regularized solution with $\mathit{\alpha }=0.5$.

Figure 3. The exact solution and the regularized solution with $\mathit{\alpha }=0.7$.

Table 1. The errors $err(v)$ for various values of fractional order $\mathit{\alpha }$ at various space point $x$, for Example 1.

$\mathit{\alpha }$	$x=0.2$	$x=0.6$	$x=1.0$
$0.3$	0.00840	0.05711	0.18984
$0.5$	0.00983	0.07456	0.24335
$0.7$	0.01319	0.11223	0.31789

Table 2. The errors $err(v)$ for various values of fractional order $\mathit{\alpha }$ at various space point $x$, for Example 2.

$\mathit{\alpha }$	$x=0.2$	$x=0.6$	$x=1.0$
$0.3$	0.00826	0.05641	0.19436
$0.5$	0.00916	0.06896	0.24611
$0.7$	0.01123	0.09539	0.30236

Figure 4. The exact solution and the regularized solution with $\mathit{\alpha }=0.3$.

Figure 5. The exact solution and the regularized solution with $\mathit{\alpha }=0.5$.

Figure 6. The exact solution and the regularized solution with $\mathit{\alpha }=0.7$.