x | 精确解 | LNN解 | LNN误差 | CNN解 | CNN误差 | HNN解 | HNN误差 |
0 | 1 | 0.999999999999 | 1.0e−13 | 1.000000000000 | 0 | 1.000000000021 | 2.1e−11 |
0.1 | 0.904837418035 | 0.904837418032 | 3.0e−12 | 0.904837418033 | 2.2e−12 | 0.904837418043 | 7.9e−12 |
0.2 | 0.818730753077 | 0.818730753055 | 2.2e−11 | 0.818730753057 | 2.0e−11 | 0.818730753056 | 2.1e−11 |
0.3 | 0.740818220681 | 0.740818220628 | 5.3e−11 | 0.740818220629 | 5.1e−11 | 0.740818220618 | 6.3e−11 |
0.4 | 0.670320046035 | 0.670320045945 | 9.0e−11 | 0.670320045946 | 9.0e−11 | 0.670320045924 | 1.1e−10 |
0.5 | 0.606530659712 | 0.606530659572 | 1.4e−10 | 0.606530659573 | 1.4e−10 | 0.606530659542 | 1.7e−10 |
0.6 | 0.548811636094 | 0.548811635885 | 2.0e−10 | 0.548811635886 | 2.0e−10 | 0.548811635845 | 2.4e−10 |
0.7 | 0.496585303791 | 0.496585303502 | 2.8e−10 | 0.496585303791 | 2.8e−10 | 0.496585303452 | 3.3e−10 |
0.8 | 0.449328964117 | 0.449328963742 | 3.7e−10 | 0.449328964117 | 3.7e−10 | 0.449328963683 | 4.3e−10 |
0.9 | 0.406569659740 | 0.406569659268 | 4.7e−10 | 0.406569659740 | 4.7e−10 | 0.406569659200 | 5.3e−10 |
1.0 | 0.367879441171 | 0.367879440587 | 5.8e−10 | 0.367879441171 | 5.8e−10 | 0.367879440511 | 6.5e−10 |