Theory and Modern Applications
Table 3 Variation of the exact result with HPTM solution of \({\phi }({{\chi }},{{\eta }})\) at \({\eta }=0.01\)
χ | Exact result | HPTM result | Absolute error |
|---|---|---|---|
5 | −2.840462381 | −2.840462380 | 1.444186835E−09 |
4 | −2.576135914 | −2.576135916 | 7.505047070E−10 |
3 | −1.915858303 | −1.915858299 | 4.760423501E−09 |
2 | −0.480345856 | −0.480345845 | 1.127798505E−08 |
1 | 1.718468335 | 1.718468318 | 1.736182461E−08 |
0 | 2.999999985 | 2.999999910 | 7.500000002E−08 |
−1 | 1.718904452 | 1.718904435 | 1.715811279E−08 |
−2 | −0.479962035 | −0.479962025 | 1.021909119E−08 |
−3 | −1.9156620237 | −1.915662020 | 4.383116417E−09 |
−4 | −2.576054184 | −2.576054186 | 1.160759310E−10 |
−5 | −2.840430898 | −2.840430897 | 5.811609752E−10 |