x--coordinate

time

Numerical

Analytical

Abs. Error

Rel. Error

0.1

0.001

0.4892023

0.4987500

0.9547681e−03

3.1482705e−03

0.005

0.4886842

0.4987500

1.0065764e−02

2.0597685e−02

0.01

0.4942080

0.4987500

4.5419931e−03

9.1904486e−03

0.5

0.001

0.4937497

0.4937503

6.2584877e−07

1.2675425e−06

0.005

0.4937465

0.4937503

3.7848949e−03

7.6656834e−06

0.01

0.4936377

0.4937503

1.1262298e−04

2.2814906e−04

0.8

0.001

0.4897544

0.4900013

2.4694204e−04

5.0421612e−04

0.005

0.4855816

0.4900013

4.4197142e−03

9.1018975e−03

0.01

0.4857789

0.4900013

4.2223930e−03

8.6920056e−03