Theory and Modern Applications
Table 7 Comparison of exact and numerical solutions of Example 3 at different time level with \(\alpha= 0.5\)
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 |
0.3298769 | 0.3298321 | 0.6310997 | 0.6310887 | 1 | 1 |
0.2163845 | 0.2163832 | 0.4139732 | 0.4139654 | 0.6559552 | 0.6559562 |
−0.0693626 | −0.0693543 | −0.1327002 | −0.1327121 | −0.2102682 | −0.2102563 |
−0.2772851 | −0.2772762 | −0.5304844 | −0.5304832 | −0.8405714 | −0.8405675 |
−0.240751 | −0.2406433 | −0.4605912 | −0.4605943 | −0.7298231 | −0.7298234 |
−0.0235904 | −0.0235912 | −0.0451317 | −0.0451321 | −0.0715129 | −0.0715123 |
0.1613089 | 0.1613124 | 0.3086061 | 0.3086051 | 0.4889974 | 0.4889876 |
0.1686604 | 0.1686542 | 0.3226704 | 0.3226654 | 0.5112827 | 0.5112832 |
0.0492466 | 0.0492342 | 0.0942155 | 0.0942211 | 0.1492878 | 0.1492768 |
−0.0349107 | −0.0349112 | −0.0667891 | −0.0667355 | −0.1058297 | −0.1058324 |
0 | 0 | 0 | 0 | 0 | 0 |