Theory and Modern Applications
Table 18 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 3 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.2\)
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 | 1.524323 × 10−5 | 1.884563 × 10−5 | 6 | 1.880435 × 10−6 | 2.5662615 × 10−6 |
6 | 1.3191225 × 10−8 | 1.64544 × 10−8 | 8 | 1.935247 × 10−6 | 2.6462824 × 10−6 |
8 | 1.5476466 × 10−10 | 1.983014 × 10−10 | 10 | 1.952716 × 10−6 | 2.670859 × 10−6 |
10 | 9.0724022 × 10−12 | 1.141775 × 10−11 | 12 | 1.959632 × 10−6 | 2.679572 × 10−6 |