Research Article
Modified HPMs Inspired by Homotopy Continuation Methods
Table 1
Comparison between the obtained solution against standard HPM, NHPM, and MHPM.
| | Equation | | | | | | A.A.R.E |
| | Exact (3.12) | 0.90000 | 3.19238 | 3.70353 | 3.78942 | 3.80354 | | | Standard HPM (5.11) | 0.90030 | 3.18849 | 3.71018 | 3.77959 | 3.78596 | 2.1E-3 | | NDHPM (5.15) | 0.89683 | 3.15115 | 3.69957 | 3.80464 | 3.81005 | 4.6E-3 | | NDHPM (5.16) | 0.89507 | 3.18285 | 3.71046 | 3.78875 | 3.79869 | 2.4E-3 | | NDHPM (5.17) | 0.89995 | 3.18236 | 3.71951 | 3.79145 | 3.79918 | 1.8E-3 | | NDHPM (5.18) | 0.89959 | 3.18200 | 3.71213 | 3.78935 | 3.79881 | 1.5E-3 | | MHPM (5.26) | 0.90000 | 3.19779 | 3.69563 | 3.80349 | 3.82687 | 2.7E-3 | | MHPM (5.27) | 0.90196 | 3.19330 | 3.70794 | 3.78087 | 3.78974 | 1.90E-3 | | MHPM (5.28) | 0.90072 | 3.19141 | 3.70912 | 3.77924 | 3.78715 | 1.92E-3 | | MHPM (5.29) | 0.89942 | 3.18899 | 3.70782 | 3.77748 | 3.78523 | 2.2E-3 | | MHPM (5.30) | 0.90032 | 3.19308 | 3.70812 | 3.78578 | 3.79625 | 0.9E-3 | | MHPM (5.31) | 0.89959 | 3.19069 | 3.70832 | 3.77843 | 3.78635 | 1.94E-3 |
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