Theory and Modern Applications
Time step (k) | \(L_{1}\) error | \(L_{\infty }\) error | CPU (s) |
---|---|---|---|
\(T_{\max }/53\) | 2.8025 × 10−1 | 1.5265 | 1.488 |
\(T_{\max }/100\) | 5.9959 × 10−2 | 6.6244 × 10−1 | 2.265 |
\(T_{\max }/200\) | 2.1273 × 10−2 | 2.6296 × 10−1 | 4.704 |
\(T_{\max }/300\) | 2.4401 × 10−3 | 3.1737 × 10−2 | 7.819 |
\(T_{\max }/310\) | 9.7448 × 10−4 | 1.3521 × 10−2 | 8.154 |
\(T_{\max }/315\) | 3.2771 × 10−4 | 4.7040 × 10−3 | 8.429 |
\(T_{\max }/320\) | 4.6757 × 10−4 | 4.6218 ×10−3 | 8.537 |
\(T_{\max }/325\) | 1.1657 × 10−3 | 1.2769 × 10−2 | 8.732 |
\(T_{\max }/350\) | 4.5061 × 10−3 | 5.3608 × 10−2 | 9.779 |
\(T_{\max }/375\) | 7.6305 × 10−3 | 9.1590 × 10−2 | 10.678 |
\(T_{\max }/400\) | 1.0576 × 10−2 | 1.2682 × 10−1 | 11.692 |
\(T_{\max }/500\) | 2.1076 × 10−2 | 2.4515 × 10−1 | 16.319 |
\(T_{\max }/600\) | 3.0241 × 10−2 | 3.4502 × 10−1 | 21.644 |