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

Table 2

Comparison of absolute error of HPM, VIM, and RKHSM for Example 10.

𝑥	Absolute error [2]	Absolute error [1]	Absolute error [RKHSM]
0.0	0.0	0.0	0.0
0.1	2.15×10^−8	3.8478×10^−12	2.8938016×10^−12
0.2	2.45×10^−7	1.2366×10^−10	2.70812917×10^−11
0.3	8.42×10^−7	2.7788×10^−10	6.70046184×10^−11
0.4	1.69×10^−6	7.5864×10^−10	6.46940320×10^−11
0.5	2.42×10^−6	1.1571×10^−9	4.73631084×10^−11
0.6	2.62×10^−6	1.3132×10^−9	2.695611749×10^−10
0.7	2.06×10^−6	1.2228×10^−9	4.808201857×10^−10
0.8	1.05×10^−6	6.6023×10^−10	4.765285031×10^−10
0.9	2.14×10^−7	1.6534×10^−10	1.825149920×10^−10
1.0	4.44×10^−16	1.3265×10^−11	0.0