Table 2 The MAEs of problem (30) for our method at \(N=8\) and the NSFD method in Sweilam and Assiri (2015)
From: A space–time spectral collocation algorithm for the variable order fractional wave equation
T | Our method | NSFD method (Sweilam and Assiri 2015) | ||
|---|---|---|---|---|
\(\theta _{1}=\theta _{2}=0\) | \(\theta _{1}=\theta _{2}=\frac{1}{2}\) | \(\theta _{1}=1,\theta _{2}=0\) | \(N=1000\) | |
\(\vartheta _{1}=\vartheta _{2}=0\) | \(\vartheta _{1}=\vartheta _{2}=\frac{1}{2}\) | \(\vartheta _{1}=0,\vartheta _{2}=1\) | \(M=125\) | |
1 | \(3.88506\times 10^{-14}\) | \(3.55271\times 10^{-14}\) | \(5.68434\times 10^{-14}\) | \(6.1539\times 10^{-3}\) |
4 | \(4.86067\times 10^{-13}\) | \(6.82121\times 10^{-13}\) | \(7.95808\times 10^{-13}\) | \(3.4818\times 10^{-3}\) |
8 | \(2.00448\times 10^{-11}\) | \(5.00222\times 10^{-12}\) | \(6.36646\times 10^{-12}\) | \(9.0641\times 10^{-5}\) |