S

Exact $u\left(s\right)=s{e}^s$

Error (N = 3)

Error (N = 5)

Error (N = 10)

0

0

0

0

0

0.2

0.2442805

0.0002777

0.0000077

9.92 10⁻¹⁰

0.4

0.5967298

0.0011111

0.0000308

3.96 10⁻⁹

0.6

1.0932712

0.0025000

0.0000694

8.93 10⁻⁹

0.8

1.7804327

0.0044444

0.0001234

1.58 10⁻⁸

1

2.7182818

0.0069444

0.0001929

2.48 10⁻⁸