Theory and Modern Applications
Table 3 The maximum error for \(N=1,\ldots, 6\), \(\lambda _{1}=-0.5\), \(\lambda _{2}=-0.5\), \(\beta =0.5\) and different values of the parameter α in Example 7.3
From: A fast numerical method for fractional partial differential equations
N | α = 0.1 | α = 0.3 | α = 0.5 | α = 0.7 | α = 0.9 |
|---|---|---|---|---|---|
1 | 6.6793.10−03 | 1.4736.10−02 | 9.1582.10−03 | 7.1919.10−03 | 8.6468.10−03 |
2 | 4.3318.10−04 | 4.1717.10−04 | 3.5892.10−04 | 3.4776.10−04 | 3.3983.10−04 |
3 | 9.5043.10−05 | 4.8460.10−05 | 1.8542.10−05 | 1.2425.10−05 | 3.3041.10−05 |
4 | 3.5230.10−07 | 2.6035.10−06 | 1.4957.10−06 | 5.1700.10−07 | 3.8963.10−07 |
5 | 7.3145.10−09 | 2.6550.10−06 | 1.1231.10−07 | 2.2479.10−08 | 8.6745.10−09 |
6 | 1.3762.10−10 | 7.8062.10−08 | 6.9305.10−09 | 1.0628.10−09 | 3.6135.10−10 |