Research Article
Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term
Table 2
The maximum error and temporal convergence order by Numerical Scheme II (see (
61)).
| α | | The maximum error | The temporal convergence order |
|
1.1 | | | — | | | 1.8470 | | | 1.6287 | | | 1.0846 |
|
1.2 | | | — | | | 1.9210 | | | 1.7879 | | | 1.3919 |
|
1.3 | | | — | | | 1.9454 | | | 1.8686 | | | 1.5943 |
|
1.4 | | | — | | | 1.9572 | | | 1.9111 | | | 1.7193 |
|
1.5 | | | — | | | 1.9678 | | | 1.9526 | | | 1.8581 |
|
1.6 | | | — | | | 1.9740 | | | 1.9800 | | | 1.9612 |
|
1.7 | | | — | | | 1.9741 | | | 1.9845 | | | 1.9809 |
1.8 | | | — | | | 1.9724 | | | 1.9824 | | | 1.9754 |
|
1.9 | | | — | | | 1.9699 | | | 1.9777 | | | 1.9595 |
|
|