Table 17 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 3 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.5\)
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 | 1.432179 × 10−4 | 8.154948 × 10−5 | 6 | 6.550636 × 10−5 | 5.571277 × 10−5 |
6 | 1.447048 × 10−5 | 1.23073 × 10−5 | 8 | 7.67568 × 10−5 | 6.420748 × 10−5 |
8 | 7.9814818 × 10−8 | 5.851884 × 10−8 | 10 | 8.0361074 × 10−5 | 6.844183 × 10−5 |
10 | 3.384447 × 10−10 | 2.633776 × 10−10 | 12 | 8.179127 × 10−5 | 6.90079 × 10−5 |