Theory and Modern Applications
Table 1 The maximum error for \(N=1,\ldots, 6\), and different parameters of Example 7.2
From: A fast numerical method for fractional partial differential equations
N | m = n = 1 | n = m = 2 | n = m = 3 | n = 5,m = 1 | n = m = 12 |
|---|---|---|---|---|---|
1 | 5.5511.10−16 | 2.3438.10−01 | 3.4234.10−01 | 3.2751.10−01 | 9.1653.10−01 |
2 | 2.2204.10−16 | 5.5511.10−16 | 6.1523.10−02 | 1.1758.10−01 | 4.9227.10−01 |
3 | 4.4409.10−16 | 6.6613.10−16 | 5.5511.10−16 | 2.1827.10−02 | 1.9605.10−01 |
4 | 1.1102.10−15 | 7.2164.10−16 | 9.9920.10−16 | 1.9531.10−03 | 7.6836.10−02 |
5 | 1.2212.10−15 | 8.8818.10−16 | 1.5543.10−16 | 9.9920.10−16 | 2.9179.10−02 |
6 | 1.7764.10−15 | 1.2212.10−16 | 4.6881.10−16 | 1.5543.10−15 | 8.8058.10−03 |