(x, t)

数值解

精确解

误差

(0.5, 0.1)

1.822120583

1.822118800

1.782186e−06

(0.5, 0.2)

2.013757202

2.013752707

4.494834e−06

(0.5, 0.3)

2.225549190

2.225540928

8.261075e−06

(0.5, 0.4)

2.459616334

2.459603111

1.322333e−05

(0.5, 0.5)

2.718301086

2.718281828

1.925730e−05

(0.5, 0.6)

3.004189370

3.004166024

2.334548e−05

(0.5, 0.7)

3.320143880

3.320116923

2.695716e−05

(0.5, 0.8)

3.669326801

3.669296668

3.013383e−05

(0.5, 0.9)

4.055232931

4.055199967

3.296452e−05

(0.5, 1.0)

4.481724504

4.481689070

3.543386e−05