Numerical Solution of Higher Order Boundary Value Problems

Table 3

Comparison of numerical results for Example 3.

𝑥	Exact solution	Approximate; series solution	Absolute error; present method	Absolute error; Siddiqi et al. [32]
0.0	1.0000	1.0000	0.0000	0.0000
0.1	0.0994	0.0994	3.41727𝐸−13	4.6585𝐸−13
0.2	0.9771	0.9771	6.25056𝐸−14	5.7126𝐸−12
0.3	0.9449	0.9449	1.42442𝐸−13	2.1299𝐸−11
0.4	0.8950	0.8950	8.83738𝐸−14	4.6995𝐸−11
0.5	0.8243	0.8243	6.43929𝐸−14	7.4307𝐸−11
0.6	0.7288	0.7288	1.51812𝐸−12	8.9219𝐸−11
0.7	0.6041	0.6041	1.47904𝐸−12	7.9767𝐸−11
0.8	0.4451	0.4451	4.94338𝐸−12	4.6686𝐸−11
0.9	0.2459	0.2459	5.3817𝐸−12	1.0960𝐸−11
1.0	0.0000	1.20811𝐸−11	1.20811𝐸−11	6.9252𝐸−16