Theory and Modern Applications
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 |
0.14551 | 0.14552 | 0.26734 | 0.26732 | 0.41152 | 0.41153 |
0.27592 | 0.27593 | 0.50695 | 0.50683 | 0.78043 | 0.78042 |
0.34624 | 0.34632 | 0.63604 | 0.63602 | 0.97923 | 0.97924 |
0.34102 | 0.34117 | 0.62653 | 0.62655 | 0.96464 | 0.96468 |
0.26152 | 0.26153 | 0.48041 | 0.48032 | 0.73964 | 0.73969 |
0.12503 | 0.12504 | 0.22963 | 0.22964 | 0.34358 | 0.34358 |
−0.03885 | −0.03864 | −0.07135 | −0.07124 | −0.10978 | −0.10974 |
−0.19412 | −0.19423 | −0.35664 | −0.35666 | −0.54904 | −0.54903 |
−0.30711 | −0.30732 | −0.56423 | −0.56431 | −0.86862 | −0.86873 |
−0.35364 | −0.35364 | −0.64953 | −0.64953 | −1 | −1 |