Theory and Modern Applications
Time step (k) | \(L_{1}\) error | \(L_{\infty }\) error | CPU (s) |
---|---|---|---|
\(T_{\max }/53\) | 2.8025 × 10−1 | 1.5265 | 0.764 |
\(T_{\max }/100\) | 5.9959 × 10−2 | 6.6244 × 10−1 | 0.783 |
\(T_{\max }/200\) | 2.1273 × 10−2 | 2.6296 × 10−1 | 0.796 |
\(T_{\max }/300\) | 2.4401 × 10−3 | 3.1737 × 10−2 | 0.928 |
\(T_{\max }/310\) | 9.7448 × 10−4 | 1.3521 × 10−2 | 0.850 |
\(T_{\max }/315\) | 3.2771 × 10−4 | 4.7040 × 10−3 | 0.799 |
\(T_{\max }/320\) | 4.6757 × 10−4 | 4.6218 ×10−3 | 0.814 |
\(T_{\max }/325\) | 1.1657 × 10−3 | 1.2769 × 10−2 | 0.902 |
\(T_{\max }/350\) | 4.5061 × 10−3 | 5.3608 × 10−2 | 0.821 |
\(T_{\max }/375\) | 7.6305 × 10−3 | 9.1590 × 10−2 | 0.927 |
\(T_{\max }/400\) | 1.0576 × 10−2 | 1.2682 × 10−1 | 0.927 |
\(T_{\max }/500\) | 2.1076 × 10−2 | 2.4515 × 10−1 | 0.925 |
\(T_{\max }/600\) | 3.0241 × 10−2 | 3.4502 × 10−1 | 0.868 |