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

Table 3

𝑥	Exact solution	OHAM sol. (3.14)	𝐸^∗ (3.14)	𝐸^∗ (DTM [33])
0.0	0.00000	0.0000	0.0000	0.0000
0.1	1.105170918	1.105170919	−9.2𝐸−10	1.0𝐸−9
0.2	1.221402758	1.221402763	−5.0𝐸−9	2.0𝐸−9
0.3	1.349858808	1.349858818	−1.1𝐸−8	1.0𝐸−8
0.4	1.491824698	1.491824713	−1.5𝐸−8	2.0𝐸−8
0.5	1.648721271	1.648721287	−1.6𝐸−8	3.1𝐸−8
0.6	1.822118800	1.822118814	−1.4𝐸−8	3.7𝐸−8
0.7	2.013752707	2.013752717	−9.9𝐸−9	4.1𝐸−8
0.8	2.225540928	2.225540934	−5.6𝐸−9	3.1𝐸−8
0.9	2.459603111	2.459603112	−1.1𝐸−9	1.4𝐸−8
1.0	2.718281828	2.718281824	0.000	0.000

𝐸^∗ = exact – approximate.