Research Article
Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem
Table 3
Numerical comparison when
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| | Exact solution | Solution by RKF method | Solution by LADM (three iterates)
| ERKF | ELADM |
| 0 | 100.00000 | 100.00000 | 100.0000000 | | | 0.05 | 110.43960 | 110.43957 | 110.4247550 | | | 0.1 | 121.67210 | 121.67914 | 121.5472313 | | | 0.15 | 133.40060 | 133.41682 | 132.9870734 | | | 0.2 | 145.22320 | 145.25102 | 144.2972796 | | | 0.25 | 156.64390 | 156.68567 | 154.9913184 | | | 0.3 | 167.09980 | 167.15791 | 164.5754023 | | | 0.35 | 176.00650 | 176.08282 | 172.5831401 | | | 0.4 | 182.81540 | 182.91116 | 178.6095088 | | | 0.45 | 187.07650 | 187.19184 | 182.3411071 | | | 0.5 | 188.49450 | 188.62843 | 183.5799579 | | | 0.55 | 186.96800 | 187.11853 | 182.2586994 | | | 0.6 | 182.60380 | 182.76773 | 178.4457794 | | | 0.65 | 175.70170 | 175.87525 | 172.3401786 | | | 0.7 | 166.71530 | 166.89424 | 164.2561445 | | | 0.75 | 156.19490 | 156.37518 | 154.5993285 | | | 0.8 | 144.72520 | 144.90324 | 143.8364918 | | | 0.85 | 132.86810 | 133.04075 | 132.4615159 | | | 0.9 | 121.11750 | 121.28263 | 120.9607589 | | | 0.95 | 109.87270 | 110.02889 | 109.7808110 | | | 1 | 99.42780 | 99.57443 | 99.3014312 | | |
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