Theory and Modern Applications
Table 11 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.2\)
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 | 2.7154 × 10−5 | 2.1068 × 10−5 | 2.548224 × 10−6 | 2.953777 × 10−6 |
7 | 1.061264 × 10−6 | 8.12598 × 10−7 | 1.899158 × 10−6 | 1.637765 × 10−6 |
9 | 1.5098 × 10−8 | 1.481109 × 10−8 | 2.294514 × 10−6 | 1.62347 × 10−6 |
11 | 1.919235 × 10−9 | 1.45927 × 10−9 | 2.471077 × 10−6 | 1.83265 × 10−6 |