S

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

HAM

ADM

0.0000

0

0

0

0.0938

−0.0937

−0.0937935

−0.0937935

0.2188

−0.2186

−0.2186089

−0.2186090

0.3125

−0.3117

−0.3117041

−0.3117060

0.4062

−0.4040

−0.4039240

−0.4039390

0.5000

−0.4948

−0.4947605

−0.4947230

0.6250

−0.6124

−0.6123349

−0.6124310

0.7188

−0.6969

−0.6969540

−0.6969410

0.8125

−0.7771

−0.7770340

−0.7770900

0.9062

−0.8520

−0.8519477

−0.8519340

1.0000

−0.9205

−0.9205260

−0.9204760