Theory and Modern Applications
Time step (k) | \(L_{1}\) error | \(L_{\infty }\) error | CPU (s) |
---|---|---|---|
\(T_{\max }/52\) | 2.8968 × 10−1 | 1.5200 | 0.648 |
\(T_{\max }/100\) | 6.5144 × 10−2 | 6.9877 × 10−1 | 0.719 |
\(T_{\max }/200\) | 3.2980 × 10−2 | 3.9927 × 10−1 | 0.672 |
\(T_{\max }/300\) | 2.0727 × 10−2 | 2.5613 × 10−1 | 0.693 |
\(T_{\max }/400\) | 1.4262 × 10−2 | 1.7830 × 10−1 | 0.708 |
\(T_{\max }/500\) | 1.0268 × 10−2 | 1.2943 × 10−1 | 0.730 |
\(T_{\max }/600\) | 7.5557 × 10−3 | 9.5605 × 10−2 | 0.770 |
\(T_{\max }/700\) | 5.5929 × 10−3 | 7.1038 × 10−2 | 0.791 |
\(T_{\max }/800\) | 4.1068 × 10−3 | 5.2473 × 10−2 | 0.816 |
\(T_{\max }/900\) | 2.9425 × 10−3 | 3.7988 × 10−2 | 0.866 |
\(T_{\max }/1000\) | 2.0059 × 10−3 | 2.6389 × 10−2 | 0.904 |
\(T_{\max }/1100\) | 1.2404 × 10−3 | 1.6901 × 10−2 | 0.932 |
\(T_{\max }/1200\) | 6.2983 × 10−4 | 9.0013 × 10−3 | 1.233 |
\(T_{\max }/1300\) | 1.9347 × 10−4 | 2.3240 × 10−3 | 1.055 |
\(T_{\max }/1400\) | 4.2509 × 10−4 | 4.3458 × 10−3 | 1.141 |
\(T_{\max }/1500\) | 8.3336 × 10−4 | 8.7691 × 10−3 | 1.245 |
\(T_{\max }/1600\) | 1.1913 × 10−3 | 1.3138 × 10−2 | 1.366 |