x | 精确解 | LNN解 | LNN误差 | CNN解 | CNN误差 | HNN解 | HNN误差 |
0 | 3.000000000000 | 3.000000000000 | 0 | 3.000000000000 | 0 | 2.999999999998 | 1.1e−12 |
0.1 | 3.125170918076 | 3.125170918068 | 6.7e−12 | 3.125170918068 | 6.9e−12 | 3.125170918068 | 6.7e−12 |
0.2 | 3.301402758160 | 3.301402758106 | 5.3e−11 | 3.301402758106 | 5.3e−11 | 3.301402758107 | 5.2e−11 |
0.3 | 3.529858807576 | 3.529858807443 | 1.3e−10 | 3.529858807443 | 1.3e−10 | 3.529858807446 | 1.2e−10 |
0.4 | 3.811824697641 | 3.811824697415 | 2.2e−10 | 3.811824697415 | 2.2e−10 | 3.811824697419 | 2.2e−10 |
0.5 | 4.148721270700 | 4.148721270350 | 3.4e−10 | 4.148721270349 | 3.5e−10 | 4.148721270356 | 3.4e−10 |
0.6 | 4.542118800390 | 4.542118799868 | 5.2e−10 | 4.542118799867 | 5.2e−10 | 4.542118799875 | 5.1e−10 |
0.7 | 4.993752707470 | 4.993752706743 | 7.2e−10 | 4.993752706741 | 7.2e−10 | 4.993752706751 | 7.1e−10 |
0.8 | 5.505540928492 | 5.505540927546 | 9.4e−10 | 5.505540927545 | 9.4e−10 | 5.505540927556 | 9.3e−10 |
0.9 | 6.079603111156 | 6.079603109967 | 1.1e−9 | 6.079603109959 | 1.1e−9 | 6.079603109972 | 1.1e−9 |
1.0 | 6.718281828459 | 6.718281826972 | 1.4e−9 | 6.718281826970 | 1.4e−9 | 6.718281826984 | 1.4e−9 |