Table 2 Errors in the \(l^\infty\) norm for test problem 2
\(L_4\) | \(\Delta y = \Delta z =0.5\) | \(\Delta y = \Delta z =0.25\) | \(\Delta y = \Delta z =0.125\) | \(\Delta y = \Delta z =0.0625\) |
|---|---|---|---|---|
0.2 | 1.266e−01 | 3.343e−02 | 8.471e−03 | 2.125e−03 |
0.4 | 4.016e−01 | 1.035e−02 | 2.609e−02 | 26.535e−03 |
0.6 | 6.692e−01 | 1.637e−02 | 4.067e−02 | 1.015e−02 |
0.8 | 8.183e−01 | 1.811e−01 | 4.406e−02 | 1.112e−02 |
1.0 | 8.115e−01 | 1.815e−01 | 4.406e−02 | 1.013e−02 |
1.2 | 8.344e−01 | 1.814e−01 | 4.406e−02 | 1.015e−02 |
1.4 | 7.892e−01 | 1.788e−01 | 4.380e−02 | 1.187e−02 |
1.6 | 8.224e−01 | 1.810e−01 | 4.380e−02 | 1.055e−02 |
1.8 | 8.429e−01 | 1.764e−01 | 4.371e−02 | 1.034e−02 |
2.0 | 8.308e−01 | 1.815e−01 | 4.408e−02 | 1.154e−02 |