Theory and Modern Applications
Table 16 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 3 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.1\)
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 | 1.91879 × 10−4 | 1.45959 × 10−4 | 6 | 2.494759 × 10−5 | 2.064916 × 10−5 |
6 | 1.57354 × 10−5 | 1.25669 × 10−5 | 8 | 7.733064 × 10−6 | 6.378449 × 10−6 |
8 | 8.558197 × 10−8 | 5.786146 × 10−8 | 10 | 2.225244 × 10−6 | 1.835108 × 10−6 |
10 | 3.466398 × 10−10 | 2.693946 × 10−10 | 12 | 4.146772 × 10−8 | 3.77408 × 10−8 |