Theory and Modern Applications
Table 1 Numerical solution, exact solution, and absolute error at \(T=1.0\) of (15)
From: Finite difference scheme for multi-term variable-order fractional diffusion equation
x | Numerical solution | Exact solution | Error |
|---|---|---|---|
0.1 | 0.0873 | 0.0900 | 0.0027 |
0.2 | 0.3196 | 0.3200 | 0.0004 |
0.3 | 0.6315 | 0.6300 | 0.0015 |
0.4 | 0.9632 | 0.9600 | 0.0032 |
0.5 | 1.2542 | 1.2500 | 0.0042 |
0.6 | 1.4434 | 1.4400 | 0.0034 |
0.7 | 1.4705 | 1.4700 | 0.0005 |
0.8 | 1.2764 | 1.2800 | 0.0036 |
0.9 | 0.8042 | 0.8100 | 0.0058 |