Research Article
Analytical Approximate Solution of the Fractional Order Biological Population Model by Using Natural Transform
Table 3
Comparison of the different values of
and the absolute error of the 6
th order NTIM solution with the 6
th order MGTFSM solution for Example 1.
| | | | | | | Exact | NTIM error | Error [18] |
| | 0.1 | 0.1 | 8.59894 | 6.78023 | 5.44736 | 1.2214 | 1.2214 | | | | 0.3 | 8.59894 | 6.78023 | 5.44736 | 1.49182 | 1.49182 | | | | 0.5 | 8.59894 | 6.78023 | 5.44736 | 1.82212 | 1.82212 | | | | 0.7 | 8.59894 | 6.78023 | 5.44736 | 2.22552 | 2.22554 | | | | 0.9 | 8.59894 | 6.78023 | 5.44736 | 2.71816 | 2.71828 | | |
| | 0.3 | 0.1 | 10.5028 | 8.28139 | 6.65342 | 1.49182 | 1.49182 | | | | 0.3 | 10.5028 | 8.28139 | 6.65342 | 1.82212 | 1.82212 | | | | 0.5 | 10.5028 | 8.28139 | 6.65342 | 2.22554 | 2.22554 | | | | 0.7 | 10.5028 | 8.28139 | 6.65342 | 2.71826 | 2.71828 | | | | 0.9 | 10.5028 | 8.28139 | 6.65342 | 3.31997 | 3.32012 | | |
| | 0.5 | 0.1 | 12.8281 | 10.1149 | 8.12651 | 1.82212 | 1.82212 | 3.312617 × 10-11 | | | 0.3 | 12.8281 | 10.1149 | 8.12651 | 2.22554 | 2.22554 | | | | 0.5 | 12.8281 | 10.1149 | 8.12651 | 2.71828 | 2.71828 | | | | 0.7 | 12.8281 | 10.1149 | 8.12651 | 3.32009 | 3.32012 | | | | 0.9 | 12.8281 | 10.1149 | 8.12651 | 4.05502 | 4.0552 | | |
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