Table 19 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 3 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.4\)
SJSCM (μ = η = 0, M = N) | Non-polynomial, k = 1/512 | ||||
|---|---|---|---|---|---|
N | \(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) | N | \(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) |
5 | 4.948996 × 10−5 | 6.13079 × 10−5 | 6 | 1.21119 × 10−5 | 1.65186 × 10−5 |
6 | 1.247094 × 10−8 | 1.542544 × 10−8 | 8 | 1.21657 × 10−5 | 1.66207 × 10−5 |
8 | 3.80395 × 10−11 | 5.983358 × 10−11 | 10 | 1.218289 × 10−5 | 1.6646 × 10−5 |
10 | 1.830749 × 10−11 | 2.80379 × 10−11 | 12 | 1.218968 × 10−5 | 1.6649 × 10−5 |