Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Table 4

Comparison of absolute error of VPM, ADM, HAM, and RKHSM.

𝑥	Absolute error [4]	Absolute error [3]	Absolute error [5]	Absolute error [RKHSM]
0.0	0.0	0.0	0.0	0.0
0.1	8.55607𝐸−13	1.23082𝐸−13	5.39291𝐸−14	3.34𝐸−19
0.2	9.94041𝐸−12	3.7792𝐸−13	4.85167𝐸−14	8.91𝐸−18
0.3	3.52244𝐸−11	2.37421𝐸−13	3.92464𝐸−14	1.6658𝐸−16
0.4	7.3224𝐸−10	3.62099𝐸−13	2.21489𝐸−14	3.841𝐸−17
0.5	1.08769𝐸−10	9.39249𝐸−14	3.84137𝐸−14	2.844𝐸−17
0.6	1.29035𝐸−10	4.82947𝐸−13	2.10831𝐸−13	9.730𝐸−17
0.7	1.51466𝐸−10	1.09135𝐸−13	1.99785𝐸−13	8.494𝐸−17
0.8	2.717974𝐸−10	1.64868𝐸−14	3.29736𝐸−13	2.394𝐸−17
0.9	7.48179𝐸−10	7.25975𝐸−13	1.77622𝐸−12	6.410𝐸−17
1.0	2.1729𝐸−09	4.54747𝐸−13	1.65159𝐸−12	1.24053𝐸−20