Theory and Modern Applications
Time step (k) | \(L_{1}\) error | \(L_{\infty }\) error | CPU (s) |
---|---|---|---|
\(T_{\max }/52\) | 2.8667 × 10−1 | 1.5040 | 1.368 |
\(T_{\max }/100\) | 6.5144 × 10−2 | 6.9877 × 10−1 | 2.183 |
\(T_{\max }/200\) | 3.2980 × 10−2 | 3.9927 × 10−1 | 4.532 |
\(T_{\max }/300\) | 2.0727 × 10−2 | 2.5613 × 10−1 | 7.689 |
\(T_{\max }/400\) | 1.4262 × 10−2 | 1.7830 × 10−1 | 11.509 |
\(T_{\max }/500\) | 1.0268 × 10−2 | 1.2943 × 10−1 | 16.099 |
\(T_{\max }/600\) | 7.5557 × 10−3 | 9.5605 × 10−2 | 22.270 |
\(T_{\max }/700\) | 5.5929 × 10−3 | 7.1038 × 10−2 | 28.343 |
\(T_{\max }/800\) | 4.1068 × 10−3 | 5.2473 × 10−2 | 35.383 |
\(T_{\max }/900\) | 2.9425 × 10−3 | 3.7988 × 10−2 | 43.181 |
\(T_{\max }/1000\) | 2.0059 × 10−3 | 2.6389 × 10−2 | 51.644 |
\(T_{\max }/1100\) | 1.2404 × 10−3 | 1.6901 × 10−2 | 61.532 |
\(T_{\max }/1200\) | 6.2983 × 10−4 | 9.0013 × 10−3 | 71.195 |
\(T_{\max }/1300\) | 1.9347 × 10−4 | 2.3240 × 10−3 | 82.456 |
\(T_{\max }/1400\) | 4.2509 × 10−4 | 4.3458 × 10−3 | 94.146 |
\(T_{\max }/1500\) | 8.3336 × 10−4 | 8.7691 × 10−3 | 107.725 |
\(T_{\max }/1600\) | 1.1913 × 10−3 | 1.3138 × 10−2 | 118.352 |