Research Article
Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem
Table 2
Numerical comparison of solutions when
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| | Exact solution | Solution by RKF method | Solution by LADM (three iterates) | ERKF | ELADM |
| 0 | 100.00000000 | 100.0000000 | 100.0000000 | | | 0.05 | 110.44538789 | 110.1789856 | 110.4297547 | | | 0.1 | 121.68557418 | 121.108106 | 121.5572303 | | | 0.15 | 133.42386083 | 132.497513 | 133.0020711 | | | 0.2 | 145.25872028 | 143.9584501 | 144.3172756 | | | 0.25 | 156.69395306 | 155.0138903 | 155.0163121 | | | 0.3 | 167.16677455 | 165.1252092 | 164.6053933 | | | 0.35 | 176.09213446 | 173.7346800 | 172.6181278 | | | 0.4 | 182.92083874 | 180.3198596 | 178.6494928 | | | 0.45 | 187.20173364 | 184.4522441 | 182.3860869 | | | 0.5 | 188.63838966 | 185.8501193 | 183.6299329 | | | 0.55 | 187.1284265 | 184.4153954 | 182.3136691 | | | 0.6 | 182.7773689 | 180.2468100 | 178.5057434 | | | 0.65 | 175.8845511 | 173.6266764 | 172.4051363 | | | 0.7 | 166.9030599 | 164.9840041 | 164.3260955 | | | 0.75 | 156.3834523 | 154.8416109 | 154.6742722 | | | 0.8 | 144.9109052 | 143.7574377 | 143.9164278 | | | 0.85 | 133.047794 | 132.2701488 | 132.5464437 | | | 0.9 | 121.2890397 | 120.8566363 | 121.0506779 | | | 0.95 | 110.0347113 | 109.90535847 | 109.8757207 | | | 1 | 99.57968623 | 99.70572240 | 99.4013312 | | |
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