Table 3 The MAEs of problem 2
From: A space–time spectral collocation algorithm for the variable order fractional wave equation
N | Our method with several choices of \(N,\,M\) | ||
|---|---|---|---|
(0, 0, 0, 0) | \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) | \(\left(-\frac{1}{2},-\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) | |
4 | \(7.3277\times 10^{-2}\) | \(4.46797\times 10^{-2}\) | 0.107228 |
8 | \(1.024\times 10^{-4}\) | \(1.09006\times 10^{-4}\) | \(1.14665\times 10^{-4}\) |
12 | \(1.55737\times 10^{-8}\) | \(2.31041\times 10^{-8}\) | \(3.18938\times 10^{-8}\) |
16 | \(1.75149\times 10^{-12}\) | \(3.27383\times 10^{-12}\) | \(2.14628\times 10^{-12}\) |
20 | \(3.70814\times 10^{-14}\) | \(5.32907\times 10^{-14}\) | \(6.51701\times 10^{-14}\) |