The method of lines

Finite difference method

0.00196377

0.1

0.00392755

0.2

0.00589132

0.3

0.00785510

0.4

0.00981887

0.5

0.01283950

0.6

0.00119615

0.7

0.08608410

0.8

0.09607220

0.9

0.12879500

1.0