Table 2 1-D accuracy test: errors and convergence orders of 8th-order compact linear scheme with Δt=0.3Δx2
Mesh length | L1 error | Order | L2 error | Order | L∞ error | Order |
|---|---|---|---|---|---|---|
1/5 | 1.196e-004 | Â | 1.344e-004 | Â | 1.849e-004 | Â |
1/10 | 4.715e-007 | 7.99 | 5.301e-007 | 7.99 | 7.286e-007 | 7.99 |
1/20 | 1.806e-009 | 8.03 | 1.998e-009 | 8.05 | 2.798e-009 | 8.02 |
1/40 | 6.979e-012 | 8.02 | 7.744e-012 | 8.01 | 1.092e-011 | 8.00 |
1/80 | 5.588e-014 | 6.96 | 6.207e-014 | 6.96 | 9.614e-014 | 6.83 |