Table 1 Maximal errors of numerical solutions at different time t with various \(\pmb{h=\tau}\) for Scheme III when \(\pmb{\beta=\gamma=1}\) , \(\pmb{\alpha=\frac{1}{2}}\)
t | (0.4,0.4) | (0.2,0.2) | (0.1,0.1) | (0.05,0.05) |
|---|---|---|---|---|
2 | 3.00693e−2 | 7.68100e−3 | 1.93219e−3 | 4.83727e−4 |
4 | 5.58019e−2 | 1.42808e−2 | 3.59269e−3 | 8.99586e−4 |
6 | 7.67786e−2 | 1.96524e−2 | 4.94689e−3 | 1.23873e−3 |
8 | 9.51322e−2 | 2.44229e−2 | 6.71218e−3 | 1.53888e−3 |
10 | 1.11946e−1 | 2.88404e−2 | 7.26695e−3 | 1.81991e−3 |