x--coordinate

Time

Numerical

Analytical

Abs. Error

Rel. Error

0.1

0.001

0.4780415

0.4878149

9.7734034e−03

2.044676e−02

0.005

0.4787573

0.4890642

1.0306984e−02

2.1528622e−02

0.01

0.4858720

0.4906261

4.7540963e−03

4.7846678e−03

0.5

0.001

0.4380772

0.4381312

5.3942204e−05

1.2313406e−04

0.005

0.4391986

0.4393624

1.6385317e−04

3.7307307e−04

0.01

0.4405147

0.4409025

3.8778782e−04

8.8030612e−04

0.8

0.001

0.4013811

0.4016127

2.3162365e−04

5.7706668e−04

0.005

0.3992964

0.4028149

3.5184920e−03

8.8117300e−03

0.01

0.4008402

0.4043193

3.4790635e−03

8.6794281e−03