Theory and Modern Applications
Table 2 Variation of the exact result with HPTM solution of \({\psi }({{\chi }},{{\eta }})\) at \({\eta }=0.01\)
χ | Exact result | HPTM result | Absolute error |
|---|---|---|---|
3.0 | 0.1947410861 | 0.1947410860 | 1.001455080E−10 |
2.5 | 0.3197683274 | 0.3197683273 | 1.358172040E−10 |
2.0 | 0.5214457334 | 0.5214457333 | 6.868329502E−11 |
1.5 | 0.8349097330 | 0.8349097328 | 2.056274600E−10 |
1.0 | 1.2764098350 | 1.2764098350 | 3.489344755E−10 |
0.5 | 1.7570460420 | 1.7570460420 | 6.046615540E−10 |
0.0 | 1.9996000670 | 1.9996000670 | 3.333333500E−10 |
−0.5 | 1.7898230530 | 1.7898230520 | 4.983904460E−10 |
−1.0 | 1.3158901820 | 1.3158901820 | 3.908333123E−10 |
−1.5 | 0.8656915546 | 0.8656915546 | 3.031660000E−12 |
−2.0 | 0.5419457750 | 0.5419457750 | 7.044098959E−11 |
−2.5 | 0.3326401212 | 0.3326401213 | 5.249600400E−11 |
−3.0 | 0.2026485202 | 0.2026485201 | 2.472076832E−10 |