x

Exact Sol.

RK-4

RK-HM-AM [4]

RK-HM [6]

4sHERK

RK-4 Error

RK-HM-AM [4] Error

RK-HM [6] Error

4sHERK Error

0.125

1.11803399

1.11803441

1.11803365

1.11803347

1.11803399

0.42308247e−6

0.3380746e−6

0.52268107e−6

0.37325369e−8

0.25

1.22474487

1.22474543

1.22474443

1.22474419

1.22474487

0.55362188e−6

0.44595043e−6

0.68606666e−6

0.44036872e−8

0.375

1.32287566

1.32287625

1.32287518

1.32287492

1.32287565

0.59022189e−6

0.47774995e−6

0.7328127e−6

0.44098678e−8

0.5

1.41421356

1.41421415

1.41421308

1.41421283

1.41421356

0.59242193e−6

0.48102403e−6

0.73644671e−6

0.42553943e−8

0.625

1.5

1.50000058

1.49999953

1.49999928

1.5

0.58129728e−6

0.47297202e−6

0.72321365e−6

0.4069489e−8

0.75

1.58113883

1.5811394

1.58113837

1.58113813

1.58113883

0.56516855e−6

0.46050983e−6

0.70355079e−6

0.38884294e−8

0.875

1.6583124

1.65831294

1.65831195

1.65831171

1.65831239

0.54755259e−6

0.44661313e−6

0.68190159e−6

0.37219154e−8

1.73205081

1.73205134

1.73205037

1.73205015

1.7320508

0.52998364e−6

0.43260686e−6

0.66022089e−6

0.35714376e−8

0.125

1.80277564

1.80277615

1.80277522

1.802775

1.80277563

0.5131226e−6

0.41907842e−6

0.63936096e−6

0.34359544e−8

0.25

1.87082869

1.87082919

1.87082829

1.87082807

1.87082869

0.49722869e−6

0.4062709e−6

0.61966383e−6

0.33137697e−8

0.375

1.93649167

1.93649216

1.93649128

1.93649107

1.93649167

0.48237238e−6

0.39426268e−6

0.60123001e−6

0.32031635e−8

0.5

2.0

2.00000047

1.99999962

1.99999942

2.0

0.46853586e−6

0.38305324e−6

0.58404588e−6

0.31025875e−8