Theory and Modern Applications
Table 8 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.1\)
N | SJSCM (μ = η = 0, M = N) | Non-polynomial, k = 1/512 | ||
|---|---|---|---|---|
\(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) | \(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) | |
5 | 7.8708446 × 10−8 | 9.936349 × 10−8 | 1.01813 × 10−7 | 1.3893 × 10−7 |
7 | 3.37123 × 10−9 | 4.26876 × 10−9 | 8.638697 × 10−8 | 1.17964 × 10−7 |
9 | 6.065073 × 10−10 | 7.651944 × 10−10 | 8.218934 × 10−8 | 1.12234 × 10−7 |
11 | 2.817315 × 10−10 | 3.645546 × 10−10 | 8.06838 × 10−8 | 1.10175 × 10−7 |