Theory and Modern Applications
Table 4 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 1 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.2\)
N | SJSCM (μ = η = 0, M = N) | Non-polynomial, k = 1/512 | ||
|---|---|---|---|---|
\(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) | \(L_{2}(U)=L_{2}(V)\) | \(L_{\infty }(U)=L_{\infty }(V)\) | |
6 | 5.114284 × 10−4 | 4.209808 × 10−4 | 4.2199 × 10−4 | 3.88868 × 10−4 |
8 | 9.3093919 × 10−6 | 6.3927994 × 10−6 | 1.56385 × 10−4 | 1.51978 × 10−4 |
10 | 5.2277249 × 10−7 | 3.66521 × 10−7 | 7.1066 × 10−5 | 6.84438 × 10−5 |
12 | 5.0689196 × 10−8 | 3.5408358 × 10−8 | 3.72193 × 10−5 | 3.57879 × 10−5 |