Table 1: Numerical comparison when initial condition is and , , .

Exact solutionSolution by RKF methodSolution by LADM
(three iterates)
ERKFELADM

01000.00000001000.00000001000.00000000
0.11217.40764571217.44472231216.07381402
0.21453.79207761453.82750701444.17894316
0.31673.58976801673.60842901647.56834151
0.41831.83318811831.81250361788.52160650
0.51889.59696241889.51596171838.84276708
0.61831.37760061831.29083891788.12230677
0.71672.79815251672.78098161646.85165910
0.81452.84574261452.91822471443.28432644
0.91216.47620731216.58070341215.15811427
1999.1956876999.2604905999.19564898

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