Research Article
Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem
Table 5
Numerical comparison when
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| | Exact solution | Solution by RKF method | Solution by LADM (two iterates) | ERKF | ELADM |
| 0 | 0.1000000000 | 0.1000000000 | 0.1000000000 | | | 0.1 | 0.1065991220 | 0.1065991220 | 0.1065049505 | | | 0.2 | 0.1133693593 | 0.1133693590 | 0.1130099010 | | | 0.3 | 0.1202826611 | 0.1202826611 | 0.1195148515 | | | 0.4 | 0.1273083819 | 0.1273083815 | 0.1260198020 | | | 0.5 | 0.1344137893 | 0.1344137893 | 0.1325247525 | | | 0.6 | 0.1415646647 | 0.1415646643 | 0.1390297030 | | | 0.7 | 0.1487259514 | 0.1487259514 | 0.1455346535 | | | 0.8 | 0.1558624471 | 0.1558624468 | 0.1520396040 | | | 0.9 | 0.1629394898 | 0.1629394898 | 0.1585445545 | | | 1 | 0.1699236292 | 0.1699236290 | 0.1650495050 | | | 1.1 | 0.1767832382 | 0.1767832382 | 0.1715544554 | | | 1.2 | 0.1834890574 | 0.1834890572 | 0.1780594059 | | | 1.3 | 0.1900146405 | 0.1900146404 | 0.1845643564 | | | 1.4 | 0.1963367003 | 0.1963367001 | 0.1910693069 | | | 1.5 | 0.2024353397 | 0.2024353396 | 0.1975742574 | | | 1.6 | 0.2082941773 | 0.2082941768 | 0.2040792079 | | | 1.7 | 0.2139003623 | 0.2139003624 | 0.2105841584 | | | 1.8 | 0.2192445053 | 0.2192445047 | 0.2170891089 | | | 1.9 | 0.2243205144 | 0.2243205144 | 0.2235940594 | | | 2 | 0.2291253839 | 0.2291253840 | 0.2300990099 | | |
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