Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem

Table 1

Numerical comparison when initial condition is and , , .

	Exact solution	Solution by RKF method	Solution by LADM; (three iterates)	ERKF	ELADM
0	1000.0000000	1000.0000000	1000.00000000
0.1	1217.4076457	1217.4447223	1216.07381402
0.2	1453.7920776	1453.8275070	1444.17894316
0.3	1673.5897680	1673.6084290	1647.56834151
0.4	1831.8331881	1831.8125036	1788.52160650
0.5	1889.5969624	1889.5159617	1838.84276708
0.6	1831.3776006	1831.2908389	1788.12230677
0.7	1672.7981525	1672.7809816	1646.85165910
0.8	1452.8457426	1452.9182247	1443.28432644
0.9	1216.4762073	1216.5807034	1215.15811427
1	999.1956876	999.2604905	999.19564898

ELADM Error term compared to the exact solution on LADM.
ERKF Error term compared to the exact solution on RKF.