Solution of Boundary Value Problems by Approaching Spline Techniques

Table 3

(a) Approximate solution, exact solution, and absolute errors of Example 2 Case 2(a). (b) Approximate solution, exact solution, and absolute errors of Example 2 Case 2(b).

(a)  

x values	Approximate solution	Exact solution	Absolute error
0.1	0.306536	0.309017	0.002481
0.2	0.583081	0.587785	0.004704
0.3	0.802581	0.809017	0.006436
0.4	0.943571	0.951056	0.007485
0.5	0.992273	1	0.007727
0.6	0.943954	0.951057	0.007103
0.7	0.803386	0.809018	0.005632
0.8	0.584388	0.587787	0.003399
0.9	0.308477	0.309019	0.000542

(b)  

x values	Approximate solution	Exact solution	Absolute error
0.1	0.30922	0.309017	0.000203
0.2	0.588176	0.587785	0.000391
0.3	0.809565	0.809017	0.000548
0.4	0.951724	0.951056	0.000668
0.5	1.000742	1	0.000742
0.6	0.951832	0.951057	0.000775
0.7	0.809792	0.809018	0.000774
0.8	0.588544	0.587787	0.000757
0.9	0.309766	0.309019	0.000747