Table 4: Numerical comparison when , , , .

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

00.100000000.100000000.10000000
0.10.107136790.107136790.10714000
0.20.114532910.114532910.11456000
0.30.122163850.122163850.12226000
0.40.130001140.130001140.13024000
0.50.138012610.138012610.13850000
0.60.146162900.146162900.14704000
0.70.154413990.154413990.15586000
0.80.162725910.162725910.16496000
0.90.171057500.171057500.17434000
10.179367180.179367180.17936718
1.10.187613830.187613830.19394000
1.20.195757560.195757560.20416000
1.30.203760500.203760500.21466000
1.40.211587430.211587430.22544000
1.50.219206380.219206380.23650000
1.60.226589070.226589070.24784000
1.70.233711220.233711220.25946000
1.80.240552760.240552760.27136000
1.90.247097820.247097820.28354000
20.253334710.253334710.29600000