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