Theory and Modern Applications
Table 12 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.4\)
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 | 2.63747 × 10−5 | 2.047483 × 10−5 | 1.32849 × 10−5 | 9.403099 × 10−6 |
7 | 1.039717 × 10−6 | 8.2290569 × 10−7 | 1.492744 × 10−5 | 1.113938 × 10−5 |
9 | 3.426634 × 10−8 | 3.481425 × 10−8 | 1.539241 × 10−5 | 1.17148 × 10−5 |
11 | 4.1872258 × 10−9 | 3.043468 × 10−9 | 1.555968 × 10−5 | 1.1919 × 10−5 |