x

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) = g

Error

0.10000

0.4963749

0.4969902

0.0006153

0.20000

0.4909502

0.4915444

0.0005942

0.30000

0.4832076

0.4837694

0.0005618

0.40000

0.4732955

0.4738151

0.0005196

0.50000

0.4613985

0.4618677

0.0004692

0.60000

0.4477306

0.4481431

0.0004124

0.70000

0.4325273

0.4328787

0.0003514

0.80000

0.4160373

0.4163254

0.0002881

0.90000

0.3985148

0.3987393

0.0002245

1.00000

0.3802125

0.3803746

0.0001622