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