Table 4 The \(L^{\infty}\) error estimates when T = 0.001 and \(\varepsilon =1\)
k = 0 | λ = 0.5 | λ = 0.5 | ||
|---|---|---|---|---|
θ = 0 | θ = 0.25 | |||
error | order | error | order | |
N = 10 | 1.66E−03 | – | 1.94E−03 | – |
N = 20 | 6.00E−04 | 1.46 | 9.50E−04 | 1.03 |
N = 40 | 2.20E−04 | 1.44 | 4.71E−04 | 1.01 |
k = 1 | λ = 0.5 | λ = 0.5 | ||
|---|---|---|---|---|
θ = 0 | θ = 0.25 | |||
error | order | error | order | |
N = 10 | 1.68E−02 | – | 1.69E−02 | – |
N = 20 | 4.17E−03 | 2.01 | 4.20E−03 | 2.01 |
N = 40 | 1.03E−03 | 2.01 | 1.04E−03 | 2.02 |
k = 2 | λ = 0.5 | λ = 0.5 | ||
|---|---|---|---|---|
θ = 0 | θ = 0.25 | |||
error | order | error | order | |
N = 10 | 1.12E−03 | – | 1.12E−03 | – |
N = 20 | 1.37E−04 | 3.03 | 1.37E−04 | 3.03 |
N = 40 | 1.69E−05 | 3.02 | 1.69E−05 | 3.02 |