Theory and Modern Applications
Table 3 The \(L_{2}\) norm error with \(\tau = 0.0025\) at \(t = 1\) for Problem 1
From: An explicit fourth-order compact difference scheme for solving the 2D wave equation
h | THOC-ADI [5] | HOC-LOD [5] | CPD-ADI [5] | IPD-ADI [5] | EFOC scheme |
|---|---|---|---|---|---|
1/5 | 6.4455(−7) | 6.4394(−7) | 6.4455(−7) | 6.4455(−7) | 7.4871(−7) |
1/10 | 4.3974(−8) | 4.3891(−8) | 4.3974(−8) | 7.0756(−9) | 4.7805(−8) |
1/20 | 2.8785(−9) | 2.8814(−9) | 2.8786(−9) | 6.8012(−10) | 2.9860(−9) |
1/40 | 1.8559(−10) | 2.0220(−10) | 1.8470(−10) | 5.6304(−11) | 1.8246(−10) |
1/80 | 1.3959(−11) | 1.8366(−11) | 1.2537(−11) | 2.9731(−12) | 1.0519(−11) |