Theory and Modern Applications
Table 7 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 1\), \(\alpha _{1}=\alpha _{2}=0.01\)
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 | 6.9409 × 10−8 | 8.706985 × 10−8 | 2.83686 × 10−8 | 3.931429 × 10−8 |
7 | 3.1640527 × 10−10 | 4.685609 × 10−10 | 1.24892 × 10−8 | 1.716939 × 10−8 |
9 | 5.6879768 × 10−11 | 7.195683 × 10−11 | 8.169012 × 10−9 | 1.112287 × 10−8 |
11 | 2.1982224 × 10−11 | 2.821826 × 10−11 | 6.625736 × 10−9 | 9.039646 × 10−9 |