Journal of Applied Mathematics

Research Article

On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method

Table 2

Comparison between the computed values of the skin friction for the Pohlhausen flow .
iter. Error
 SHAM
1 1.158193904721962067956616177870.00349336634271053893831861687
5 1.154700682268169611262590648680.00000014388891808224429308768
10 1.154700538377160001456073366750.00000000000209152756222419425
20 1.154700538379251529017169016670.00000000000000000000112854434
25 1.154700538379251529018297592220.00000000000000000000000003121
30 1.154700538379251529018297561000.00000000000000000000000000000
 Scheme-0
1 1.1581939047219620679566161779 0.0034933663427105389383186169
2 1.1547034510528929300844093465 0.0000029126736414010661117855
3 1.1547005383817023293095010719 0.0000000000024508002912035109
4 1.1547005383792515290182994735 0.0000000000000000000000019125
5 1.1547005383792515290182975610 0.0000000000000000000000000000
 Scheme-1
1 1.1544901934962778016810840055 0.0002103448829737273372135555
2 1.1547005383778620432865956388 0.0000000000013894857317019222
3 1.1547005383792515290182975610 0.0000000000000000000000000000
EXACT: 1.1547005383792515290182975610
[29]: 1.1547005383792515290182975610 (104 iterations)