Theory and Modern Applications
Table 4 Comparison of exact and numerical solutions of Example 2 at various times
From: Solving time fractional Burgers’ and Fisher’s equations using cubic B-spline approximation method
t = 0.5 | t = 0.75 | t = 1 | |||
|---|---|---|---|---|---|
Exact | Numerical | Exact | Numerical | Exact | Numerical |
0 | 0 | 0 | 0 | 0 | 0 |
0.02438 | 0.02435 | 0.02845 | 0.02846 | 0.03245 | 0.03247 |
0.1083 | 0.1084 | 0.12642 | 0.12645 | 0.14447 | 0.14443 |
0.25239 | 0.25236 | 0.29445 | 0.29443 | 0.33644 | 0.33641 |
0.45638 | 0.45636 | 0.53247 | 0.53249 | 0.60839 | 0.60835 |
0.72037 | 1.72035 | 0.84032 | 0.84054 | 0.96045 | 0.96039 |
1.04435 | 0.04439 | 1.21834 | 0.21863 | 1.39243 | 1.39241 |
1.4283 | 0.42841 | 1.66324 | 1.66322 | 1.90443 | 1.90442 |
1.87238 | 0.87242 | 2.18445 | 2.18436 | 2.49642 | 2.49635 |
2.37634 | 2.37643 | 2.77241 | 2.77243 | 3.16845 | 3.16873 |
3 | 3 | 3.5 | 3.5 | 4 | 4 |