The Numerical Solution of Linear Sixth Order Boundary Value Problems with Quartic B-Splines

Table 3

Max[𝑦(𝑥_𝑖)] of different methods for Example 2.

𝑥	Exact solution	[18]	[13]	[10]	Our method
0.1	0.99465383	1.2159𝑒−5	4.0933𝑒−4	4.0933𝑒−4	4.5092𝑒−6
0.2	0.97712221	2.7418𝑒−5	7.7820𝑒−4	7.7820𝑒−4	1.2619𝑒−5
0.3	0.94490117	2.2053𝑒−6	1.0704𝑒−3	1.0704𝑒−3	1.9154𝑒−5
0.4	0.89509482	2.5033𝑒−6	1.2578𝑒−3	1.2578𝑒−3	2.1632𝑒−5
0.5	0.82436064	5.4836𝑒−6	1.3223𝑒−3	1.3223𝑒−3	1.9704𝑒−5
0.6	0.72884752	1.6212𝑒−5	1.2578𝑒−3	1.2578𝑒−3	1.4548𝑒−5
0.7	0.60412581	2.0682𝑒−5	1.0704𝑒−3	1.0704𝑒−3	8.2238𝑒−6
0.8	0.44510819	2.2619𝑒−5	7.7820𝑒−4	7.7820𝑒−4	2.9420𝑒−6
0.9	0.24596031	1.9460𝑒−5	4.0933𝑒−4	4.0933𝑒−4	2.3610𝑒−7