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

Table 7

𝑥	Exact	OHAM sol.	𝐸^∗ (3.32)	𝐸^∗ ([27])
0.0	1	1	0	0
0.1	1.105170918	1.105170918	8.12𝐸−17	−1.41𝐸−6
0.2	1.221402758	1.221402758	2.18𝐸−18	−2.69𝐸−6
0.3	1.349858808	1.349858808	−2.84𝐸−18	−3.70𝐸−6
0.4	1.491824698	1.491824698	7.95𝐸−16	−4.35𝐸−6
0.5	1.648721271	1.648721271	1.91𝐸−14	−4.58𝐸−6
0.6	1.822118800	1.822118800	2.15𝐸−13	−4.36𝐸−6
0.7	2.013752707	2.013752707	1.63𝐸−12	−3.71𝐸−6
0.8	2.225540928	2.225540928	9.33𝐸−12	−2.69𝐸−6
0.9	2.459603111	2.459603111	4.36𝐸−11	−1.42𝐸−6
1.0	2.718281828	2.718281828	1.73𝐸−10	2.00𝐸−9

𝐸^∗ = exact − approximate.