Research Article
Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem
Table 4
Numerical comparison when
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| | Exact solution | Solution by RKF method | Solution by LADM method (three iterates) | ERKF | ELADM |
| 0 | 0.10000000 | 0.10000000 | 0.10000000 | | | 0.1 | 0.10713679 | 0.10713679 | 0.10714000 | | | 0.2 | 0.11453291 | 0.11453291 | 0.11456000 | | | 0.3 | 0.12216385 | 0.12216385 | 0.12226000 | | | 0.4 | 0.13000114 | 0.13000114 | 0.13024000 | | | 0.5 | 0.13801261 | 0.13801261 | 0.13850000 | | | 0.6 | 0.14616290 | 0.14616290 | 0.14704000 | | | 0.7 | 0.15441399 | 0.15441399 | 0.15586000 | | | 0.8 | 0.16272591 | 0.16272591 | 0.16496000 | | | 0.9 | 0.17105750 | 0.17105750 | 0.17434000 | | | 1 | 0.17936718 | 0.17936718 | 0.17936718 | | | 1.1 | 0.18761383 | 0.18761383 | 0.19394000 | | | 1.2 | 0.19575756 | 0.19575756 | 0.20416000 | | | 1.3 | 0.20376050 | 0.20376050 | 0.21466000 | | | 1.4 | 0.21158743 | 0.21158743 | 0.22544000 | | | 1.5 | 0.21920638 | 0.21920638 | 0.23650000 | | | 1.6 | 0.22658907 | 0.22658907 | 0.24784000 | | | 1.7 | 0.23371122 | 0.23371122 | 0.25946000 | | | 1.8 | 0.24055276 | 0.24055276 | 0.27136000 | | | 1.9 | 0.24709782 | 0.24709782 | 0.28354000 | | | 2 | 0.25333471 | 0.25333471 | 0.29600000 | | |
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