Theory and Modern Applications
Table 9 Comparison of \(L_{\infty }\), \(L_{2}\) and RMS errors with [23] for \(p= 10\), \(\sigma =\frac{1}{12}\), \(k=0.0001\), \(n=200 \) for Example 4
t | Our method | [23] | ||||
|---|---|---|---|---|---|---|
\(L_{\infty }\) | \(L_{2}\) | RMS | \(L_{\infty }\) | \(L_{2}\) | RMS | |
0.01 | 4.0120(−3) | 1.6335(−4) | 1.1579(−3) | 4.0579(−3) | 9.9105(−3) | 6.9903(−4) |
0.05 | 1.7249(−2) | 4.4265(−2) | 3.1378(−3) | 4.1003(−2) | 1.0295(−1) | 7.2619(−3) |
0.10 | 6.5572(−2) | 6.8612(−2) | 4.8638(−3) | 9.1691(−2) | 2.3373(−1) | 1.6486(−2) |
0.15 | 5.1806(−2) | 7.9154(−2) | 5.6111(−3) | 1.3257(−1) | 3.4201(−1) | 2.4124(−2) |
0.20 | 4.8556(−2) | 8.2929(−2) | 5.8786(−3) | 1.6644(−1) | 4.3607(−1) | 3.0758(−2) |