Theory and Modern Applications
Table 9 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.5\)
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 | 6.448889 × 10−8 | 7.7196524 × 10−8 | 3.74912 × 10−6 | 5.119798 × 10−6 |
7 | 1.38115 × 10−8 | 1.8558 × 10−8 | 3.73579 × 10−6 | 5.1 × 10−6 |
9 | 6.20399 × 10−9 | 8.2554947 × 10−9 | 3.732156 × 10−6 | 5.094726 × 10−6 |
11 | 2.63339 × 10−9 | 3.515616 × 10−9 | 3.730849 × 10−6 | 5.09279 × 10−6 |