(x, t)

数值解

精确解

误差

(0.5, 0.1)

1.822107578

1.822118800

1.122231e−05

(0.5, 0.2)

2.013729376

2.013752707

2.333121e−05

(0.5, 0.3)

2.41268389

2.225540928

1.871430e+01

(0.5, 0.4)

−8.865401847e+04

2.459603111

8.865648e+04

(0.5, 0.5)

3.950775415e+10

2.718281828

3.950775e+10

(0.5, 0.6)

−1.641415244e+16

3.004166024

1.641415e+16

(0.5, 0.7)

6.038232892e+21

3.320116923

6.038233e+21

(0.5, 0.8)

−1.689514915e+27

3.669296668

1.689515e+27

(0.5, 0.9)

6.910972393e+31

4.055199967

6.910972e+31

(0.5, 1.0)

4.011360911e+38

4.481689070

4.011361e+38