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

Table 5

Numerical results for Example 12 (time (s): 5.234).

𝑥	Exact solution	Approximate solution	Absolute error
0.0	1.0	1.0	0.0
0.1	0.81435367623236361584	0.81435367623236697064	3.35480×10^−15
0.2	0.65498460246238548694	0.65498460246237032242	1.516452×10^−14
0.3	0.51857275447720250625	0.51857275447711724998	8.525627×10^−14
0.4	0.40219202762138358044	0.40219202762145521926	7.163882×10^−14
0.5	0.30326532985631671180	0.30326532985631655134	1.6046×10^−16
0.6	0.21952465443761057305	0.21952465443760682026	3.75279×10^−15
0.7	0.14897559113742285441	0.14897559113743255406	9.69965×10^−15
0.8	0.089865792823444318286	0.089865792823449635588	5.317302×10^−15
0.9	0.040656965974059911188	0.040656965974059021714	8.89474×10^−16
1.0	0.0	2.708848×10^−22	2.708848×10^−22