Research Article
Analytical Approximate Solution of the Fractional Order Biological Population Model by Using Natural Transform
Table 2
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 Problem
8.
| | | | | | | Exact | NTIM error | Error [18] |
| 0.1 | 0.1 | 2.46455 | 1.94329 | 1.56127 | 0.350067 | 0.350067 | | | 0.3 | 2.46455 | 1.94329 | 1.56127 | 0.427573 | 0.427573 | | | 0.5 | 2.46455 | 1.94329 | 1.56127 | 0.522238 | 0.522239 | | | 0.7 | 2.46455 | 1.94329 | 1.56127 | 0.637858 | 0.637864 | | | 0.9 | 2.46455 | 1.94329 | 1.56127 | 0.779055 | 0.779089 | | |
| 0.3 | 0.1 | 4.32451 | 3.40986 | 2.73955 | 0.614259 | 0.614259 | | | 0.3 | 4.32451 | 3.40986 | 2.73955 | 0.750258 | 0.750258 | | | 0.5 | 4.32451 | 3.40986 | 2.73955 | 0.916366 | 0.916367 | | | 0.7 | 4.32451 | 3.40986 | 2.73955 | 1.11924 | 1.11925 | | | 0.9 | 4.32451 | 3.40986 | 2.73955 | 1.367 | 1.36706 | | |
| 0.5 | 0.1 | 5.72082 | 4.51084 | 3.6241 | 0.812592 | 0.812592 | | | 0.3 | 5.72082 | 4.51084 | 3.6241 | 0.992502 | 0.992502 | | | 0.5 | 5.72082 | 4.51084 | 3.6241 | 1.21224 | 1.21224 | | | 0.7 | 5.72082 | 4.51084 | 3.6241 | 1.48063 | 1.48064 | | | 0.9 | 5.72082 | 4.51084 | 3.6241 | 1.80838 | 1.80846 | | |
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