x--coordinate

time

Numerical

Analytical

Abs. Error

Rel. Error

−0.4

0.1

0.4997850

0.5003500

5.6499243e−04

1.6263075e−03

0.5

0.5012816

0.5013500

6.8426132e−05

1.3650438e−04

1.0

0.5025941

0.5026001

5.9604645e−06

1.1859400e−05

−0.2

0.1

0.4989803

0.5003000

1.3196468e−03

2.6446870e−03

0.5

0.5011207

0.5013126

1.7929077e−04

3.5777959e−04

1.0

0.5025345

0.5025501

1.5556812e−05

3.0956704e−05

0.4

0.1

0.4995852

0.5001500

5.6484342e−04

1.1306248e−03

0.5

0.5010815

0.5011501

6.8604994e−05

1.3691376e−04

1.0

0.5023942

0.5024001

5.9008598e−06

1.1745477e−05