x--coordinate

Time

Numerical

Analytical

Abs. Error

Rel. Error

0.1

0.001

0.4777927

0.4875651

9.7723305e−03

2.0453075e−02

0.005

0.4775103

0.4878149

1.0304570e−02

2.1579785e−02

0.01

0.4833752

0.4881272

4.7520101e−03

9.8308930e−03

0.5

0.001

0.4378311

0.4378850

5.3912401e−05

1.231351e−02

0.005

0.4379676

0.4381312

1.6358495e−04

2.7350925e−04

0.01

0.4380523

0.4384389

3.8659573e−04

8.825332e−04

0.8

0.001

0.4011410

0.4013724

2.3144484e−04

5.7696633e−04

0.005

0.3980983

0.4016127

3.5144389e−04

8.8280691e−04

0.01

0.3984419

0.4019131

3.4712255e−03

8.7119932e−03