Analysis of Reliable Solutions to the Boundary Value Problems by Using Shooting Method

Table 2

Results of consecutive four iterations along with exact solution and error estimation for numerical problem-2.

Xi	Approximate solution				Exact value	Error
	Iteration 1	Iteration 2	Iteration 3	Iteration 4
0.111	−0.0123213	0.084223	0.084223	0.084223	0.0933995	0.0091764
0.222	−0.0492967	0.1449828	0.1449828	0.1449828	0.1548878	0.0099051
0.333	−0.1109842	0.1834265	0.1834265	0.1834265	0.1889143	0.0054877
0.444	−0.1975294	0.2006438	0.2006438	0.2006438	0.1993452	0.0012985
0.555	−0.3092021	0.1976444	0.1976444	0.1976444	0.1895378	0.0081066
0.666	−0.4464295	0.1753415	0.1753415	0.1753415	0.1624043	0.0129372
0.777	−0.6098276	0.1345367	0.1345367	0.1345367	0.1204683	0.0140684
0.888	−0.8002302	0.0759082	0.0759082	0.0759082	0.0659145	0.0099937
0.999	−1.0187183	0.0000000	0.0000000	0.0000000	0.0006318	0.0006318