Theory and Modern Applications
Table 3 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 1 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.7\)
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 | 5.241454 × 10−7 | 6.069457 × 10−7 | 2.979 × 10−5 | 4.06772 × 10−5 |
8 | 3.827265 × 10−8 | 5.596145 × 10−8 | 2.84745 × 10−5 | 3.89513 × 10−5 |
10 | 1.167764 × 10−8 | 1.548701 × 10−8 | 2.80562 × 10−5 | 3.83997 × 10−5 |
12 | 9.377883 × 10−9 | 1.248364 × 10−8 | 2.789 × 10−5 | 3.81738 × 10−5 |