Theory and Modern Applications
γ = 1.7, α = 0.8, β = 0.6 | \(L_{2} \) error | Order | \(L_{\infty}\) error | Order |
---|---|---|---|---|
τ = 1/20 | 1.5314E−02 | 3.0629E−02 | ||
τ = 1/40 | 6.7733E−03 | 1.18 | 1.3138E−02 | 1.22 |
τ = 1/80 | 2.7946E−03 | 1.28 | 5.5893E−03 | 1.23 |
τ = 1/160 | 1.2456E−03 | 1.17 | 2.4773E−03 | 1.17 |
τ = 1/320 | 5.3792E−04 | 1.21 | 1.0758E−03 | 1.20 |
γ = 1.5, α = 0.6, β = 0.4 | \(L_{2} \) error | Order | \(L_{\infty}\) error | Order |
---|---|---|---|---|
τ = 1/20 | 8.3425E−03 | 1.6685E−02 | ||
τ = 1/40 | 3.1492E−03 | 1.41 | 6.2069E−03 | 1.43 |
τ = 1/80 | 1.2085E−03 | 1.38 | 2.4035E−03 | 1.37 |
τ = 1/160 | 4.6230E−04 | 1.39 | 9.2459E−04 | 1.38 |
τ = 1/320 | 1.7080E−04 | 1.44 | 3.4159E−04 | 1.44 |
γ = 1.2, α = 0.4, β = 0.2 | \(L_{2} \) error | Order | \(L_{\infty}\) error | Order |
---|---|---|---|---|
τ = 1/20 | 4.3678E−03 | 8.5587E−03 | ||
τ = 1/40 | 1.4595E−03 | 1.58 | 2.8991E−03 | 1.56 |
τ = 1/80 | 4.8352E−04 | 1.59 | 9.6484E−04 | 1.59 |
τ = 1/160 | 1.5651E−04 | 1.63 | 3.1303E−04 | 1.62 |
τ = 1/320 | 5.2751E−05 | 1.57 | 1.0550E−04 | 1.57 |