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

Table 1

Numerical results for Example 10 (time (s): 1.645).

𝑥	Exact solution	Approximate solution	Absolute error	Relative error
0.0	1.0	1.0	0.0	0.0
0.1	1.1051709180756476248	1.1051709180727538232	2.893×10^−12	2.618×10^−12
0.2	1.2214027581601698339	1.2214027581330885422	2.708×10^−11	2.217×10^−11
0.3	1.3498588075760031040	1.3498588075089984856	6.700×10^−11	4.963×10^−11
0.4	1.4918246976412703178	1.4918246975765762858	6.469×10^−11	4.336×10^−11
0.5	1.6487212707001281468	1.6487212707474912552	4.736×10^−11	2.872×10^−11
0.6	1.8221188003905089749	1.8221188006600701498	2.695×10^−10	1.479×10^−10
0.7	2.0137527074704765216	2.0137527079512967073	4.808×10^−10	2.387×10^−10
0.8	2.2255409284924676046	2.2255409289689961077	4.765×10^−10	2.141×10^−10
0.9	2.4596031111569496638	2.4596031113394646558	1.825×10^−10	7.420×10^−11
1.0	2.7182818284590452354	2.7182818284590452354	0.0	0.0