Numerical Solution of Higher Order Boundary Value Problems

Table 2

Comparison of numerical results for Example 2.

𝑥	Exact solution	Approximate series solution	Absolute error
0.0	1.0000	1.0000	0.0000
0.1	0.814354	0.814354	4.15223𝐸−14
0.2	0.654985	0.654985	4.18332𝐸−13
0.3	0.518573	0.518573	1.21736𝐸−12
0.4	0.402192	0.402192	1.95471𝐸−12
0.5	0.303265	0.303265	2.03731𝐸−12
0.6	0.219525	0.219525	1.37063𝐸−12
0.7	0.148976	0.148976	4.66988𝐸−13
0.8	0.0898658	0.0898658	4.8378𝐸−14
0.9	0.040657	0.040657	6.00561𝐸−14
1.0	0.0000	−1.29172𝐸−15	1.29172𝐸−15