Theory and Modern Applications
Table 1 Variation of the actual solution with HPTM solution of \({\phi }({{\chi }},{{\eta }})\) at \({\eta }=0.01\)
χ | Exact result | HPTM result | Absolute error |
|---|---|---|---|
3.0 | 0.9810379547 | 0.9810379579 | 1.957810944E−09 |
2.5 | 0.9488741084 | 0.9488741131 | 4.588520200E−09 |
2.0 | 0.8640471736 | 0.8640471812 | 7.500972059E−09 |
1.5 | 0.6514628688 | 0.6514628649 | 3.864259000E−09 |
1.0 | 0.1853889664 | 0.1853888931 | 7.330837940E−08 |
0.5 | −0.543605397 | 0-0.5436054423 | 4.527637000E−08 |
0.0 | −0.999200213 | 0-0.9992000000 | 2.130000000E−07 |
−0.5 | −0.601733281 | 0-0.6017333223 | 4.129203000E−08 |
−1.0 | 0.1342165142 | 0.1342164396 | 7.470826874E−08 |
−1.5 | 0.6252890662 | 0.6252890617 | 4.510941000E−09 |
−2.0 | 0.8531473885 | 0.8531473961 | 7.543603848E−09 |
−2.5 | 0.9446752749 | 0.9446752795 | 4.629439800E−09 |
−3.0 | 0.9794667886 | 0.9794667902 | 1.994434944E−09 |