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

Table 3

Results of consecutive four iterations along with exact solution and error estimation for numerical problem-3.

Xi	Approximate solution				Exact value	Error
	Iteration 1	Iteration 2	Iteration 3	Iteration 4
0.1	0.0998333	0.1186415	0.1186415	0.1186415	0.1186415	2.752E-08
0.2	0.1986692	0.2360976	0.2360976	0.2360976	0.2360977	5.445E-08
0.3	0.29552	0.3511947	0.3511947	0.3511947	0.3511948	7.852E-08
0.4	0.389418	0.4627828	0.4627828	0.4627828	0.4627829	9.756E-08
0.5	0.4794252	0.5697469	0.5697469	0.5697469	0.569747	1.095E-07
0.6	0.564642	0.6710182	0.6710182	0.6710182	0.6710184	1.123E-07
0.7	0.6442172	0.765585	0.765585	0.765585	0.7655851	1.042E-07
0.8	0.7173556	0.8525024	0.8525024	0.8525024	0.8525025	8.365E-08
0.9	0.7833264	0.9309018	0.9309018	0.9309018	0.9309019	4.928E-08
1.0	0.8414705	1.0000000	1.0000000	1.0000000	1.0000000	1E-16