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

Table 2

The maximum absolute error as reported in [28] is 1.8775×10⁻⁵, while in our case, it is 8.5757×10⁻⁸.

𝑥	Exact sol.	OHAM sol. (3.10)	𝐸^∗ (3.10)
−1.0	0.540302306	0.540302301	3.90𝐸−9
−0.8	0.195077879	0.195077879	8.44𝐸−9
−0.6	−0.231093972	−0.231094010	3.74𝐸−8
−0.4	−0.626321476	−0.626321543	6.70𝐸−8
−0.2	−0.901661252	−0.901661334	8.22𝐸−8
0.0	−1.000000000	−1.000000086	8.58𝐸−8
0.2	−0.901661252	−0.901661334	8.22𝐸−8
0.4	−0.626321476	−0.626321543	6.70𝐸−8
0.6	−0.231093972	−0.231094010	3.74𝐸−8
0.8	0.195077879	0.195077879	8.44𝐸−9
1.0	0.540302306	0.540302301	3.90𝐸−9

𝐸^∗ = exact − approximate.