η | f(η) | θ(η) | ϕ(η) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
HPM | CM | FEM | %Error | HPM | CM | FEM | %Error | HPM | CM | FEM | %Error | |
0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
0.1 | 0.9828509855 | 0.9824627697 | 0.9824361313 | 0.0000266384 | 0.9346923870 | 0.8308268138 | 0.830835128 | 0.0000083142 | 0.7793705558 | 0.9000934056 | 0.9112683052 | −0.0111748996 |
0.2 | 0.9392513782 | 0.9375660234 | 0.9375269886 | 0.00003900384 | 0.8640178590 | 0.6904013197 | 0.6910783899 | − 0.0006770702 | 0.6012650162 | 0.7989509826 | 0.8108534964 | − 0.0119025138 |
0.3 | 0.8788058754 | 0.8752398967 | 0.8752157845 | 0.0000241122 | 0.7884934362 | 0.5714471980 | 0.5725408493 | − 0.0010936513 | 0.4559056726 | 0.6970283829 | 0.7064057452 | − 0.0093773623 |
0.4 | 0.8090072079 | 0.8036034623 | 0.8035984828 | 0.0000049795 | 0.7076406847 | 0.4683468174 | 0.4695239098 | − 0.0011770924 | 0.3359299240 | 0.5947812584 | 0.6016217396 | − 0.0068404812 |
0.5 | 0.7359775756 | 0.7293903870 | 0.7293979521 | 0.0000075651 | 0.6202061754 | 0.3767871883 | 0.37785019 | − 0.0010630017 | 0.2360877164 | 0.4926652610 | 0.4980783825 | − 0.0054131215 |
0.6 | 0.6650106060 | 0.6583174081 | 0.658336159 | − 0.0000187509 | 0.5243799637 | 0.2934637222 | 0.2943510479 | − 0.0008873257 | 0.1530318820 | 0.3911360429 | 0.3962207368 | − 0.0050846939 |
0.7 | 0.6009852669 | 0.5953956265 | 0.5954289745 | − 0.000033348 | 0.4179140248 | 0.2158417967 | 0.2165647056 | − 0.0007229089 | 0.08537940058 | 0.2906492557 | 0.2959127913 | − 0.0052635356 |
0.8 | 0.5487041816 | 0.5451846184 | 0.5452260815 | − 0.0000414609 | 0.2979942644 | 0.1419761291 | 0.1425481689 | − 0.0005720398 | 0.03409554226 | 0.1916605515 | 0.196753453 | − 0.0050929015 |
0.9 | 0.5131945405 | 0.5119893652 | 0.5120144707 | − 0.0000251055 | 0.1607055638 | 0.07038795247 | 0.0707603109 | − 0.00037235843 | 0.003119131100 | 0.09462558233 | 0.0982635139 | − 0.00363793157 |
1 | 0.4999999999 | 0.5000000008 | 0.5 | 0.0000000008 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |