x

$\text{Exact}=2\frac{{\text{e}}^{kx+\sqrt{1+k^2}t}}{{\left(1+{\text{e}}^{kx+k\sqrt{1+k^{2}t}}\right)}^2}$

u(x)

Error

0.10000

0.4974729

0.4976949

0.0002221

0.20000

0.4927250

0.4929399

0.0002148

0.30000

0.4856248

0.4858283

0.0002035

0.40000

0.4763090

0.4764976

0.0001886

0.50000

0.4649528

0.4651236

0.0001707

0.60000

0.4517627

0.4519132

0.0001505

0.70000

0.4369689

0.4370975

0.0001286

0.80000

0.4208171

0.4209230

0.0001059

0.90000

0.4035609

0.4036438

0.0000830

1.00000

0.3854539

0.3855143

0.0000605