Theory and Modern Applications
Table 7 \(L_{\infty }\), \(L_{2}\) and RMS errors for \(p=100\), \(\sigma = \frac{1}{12}\), \(k=0.001\), \(\kappa =0.14\), \(L=10\), \(n=250\), \([a,b]=[30,80]\) and comparison of \(L_{\infty }\) error with [5] for Example 3
t | Our method | [5] | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(L_{2}\) | RMS | \(L_{\infty }\) | |
1 | 1.8313(−6) | 1.4082(−5) | 8.9242(−7) | 6.8860(−6) |
3 | 1.8310(−6) | 1.4082(−5) | 8.9243(−7) | 8.5988(−6) |
5 | 1.8308(−6) | 1.4082(−5) | 8.9244(−7) | 8.3958(−6) |
7 | 1.8306(−6) | 1.4083(−5) | 8.9244(−7) | 9.2090(−6) |
10 | 1.8314(−6) | 1.4082(−5) | 8.9243(−7) | 8.5625(−6) |