Theory and Modern Applications
u(x, y, t) | k* | j T | Err | res | res0 |
---|---|---|---|---|---|
τ = 10-3 | |||||
σ(u) = σ 1 | |||||
u 1 | 20 | 302 | 3.69(-7) | 1.03(-4) | 546.04 |
u 2 | 26 | 6066 | 4.76(-7) | 1.47(-4) | 50940.66 |
u 3 | 20 | 633 | 4.63(-7) | 1.31(-4) | 692.97 |
u 4 | 24 | 1631 | 3.37(-7) | 1.10(-4) | 9323.23 |
σ(u) = σ 2 | |||||
u 1 | 19 | 249 | 4.51(-7) | 1.32(-4) | 362.86 |
u 2 | 29 | 38837 | 2.36(-7) | 1.06(-4)* | 298830.38 |
u 3 | 20 | 932 | 5.45(-7) | 1.67(-4) | 881.87 |
u 4 | 26 | 4122 | 2.63(-7) | 1.03(-4)* | 35275.82 |
τ = 10-4 | |||||
σ(u) = σ 1 | |||||
u 1 | 18 | 37 | 5.17(-7) | 1.34(-4) | 211.75 |
u 2 | 23 | 737 | 5.23(-7) | 1.40(-4) | 6026.72 |
u 3 | 18 | 76 | 3.73(-7) | 9.89(-5) | 132.60 |
u 4 | 21 | 240 | 3.46(-7) | 1.00(-4) | 1074.69 |
σ(u) = σ 2 | |||||
u 1 | 18 | 33 | 4.50(-7) | 1.19(-4) | 205.39 |
u 2 | 25 | 7615 | 5.02(-7) | 1.68(-4)* | 30266.34 |
u 3 | 18 | 121 | 3.82(-7) | 1.05(-4) | 144.41 |
u 4 | 22 | 910 | 4.89(-7) | 1.69(-4) | 3611.96 |
σ(u) = σ 3 | |||||
u 2 | 22 | 48 | 3.98(-7) | 1.24(-4) | 2825.73 |
u 3 | 17 | 102 | 4.76(-7) | 1.66(-4) | 113.34 |
u 4 | 19 | 604 | 3.99(-7) | 1.58(-4) | 416.74 |