The Optimal Homotopy Asymptotic Method for the Solution of Higher-Order Boundary Value Problems in Finite Domains

Table 6

𝑥	Exact	OHAM sol.	𝐸^∗ (3.29)	𝐸^∗ ([27])
0.0	1	1	0.0000	0.0000
0.1	0.994653826	0.994653826	1.03𝐸−16	−2.0𝐸−10
0.2	0.977122206	0.977122206	1.33𝐸−16	−2.0𝐸−10
0.3	0.944901165	0.944901165	−2.12𝐸−16	−2.0𝐸−10
0.4	0.895094818	0.895094818	−1.30𝐸−14	−2.0𝐸−10
0.5	0.824360635	0.824360635	−2.44𝐸−13	−2.0𝐸−10
0.6	0.728847520	0.728847520	−2.64𝐸−12	−6.0𝐸−10
0.7	0.604125812	0.604125812	−1.97𝐸−11	−1.0𝐸−09
0.8	0.445108186	0.445108186	−1.13𝐸−10	−2.0𝐸−09
0.9	0.245960311	0.245960311	−5.26𝐸−10	−3.4𝐸−09
1.0	0.0000	2.09𝐸−09	−2.09𝐸−09	0.000

𝐸^∗ = exact − approximate.