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

Table 2

Max[𝑦^(𝜈)(𝑥_𝑖)] of quartic B-spline method for Example 1.

𝑛	max[𝑦(𝑥𝑖)]	max[𝑦^′(𝑥𝑖)]	max[𝑦^′′(𝑥𝑖)]	max[𝑦^′′′(𝑥𝑖)]	max[𝑦^(4)(𝑥𝑖)]	max[𝑦^(5)(𝑥𝑖)]
10	3.2599𝑒−6	1.3642𝑒−5	1.9072𝑒−4	6.1038𝑒−3	1.1021𝑒−2	8.444𝑒−1
20	1.3846𝑒−7	5.1383𝑒−7	6.7388𝑒−6	1.2107𝑒−5	2.1304𝑒−4	4.2045𝑒−2
40	2.8847𝑒−8	1.5453𝑒−7	1.3402𝑒−6	2.8482𝑒−5	7.4701𝑒−4	2.1074𝑒−2
80	1.3493𝑒−8	7.8389𝑒−8	6.657𝑒−7	7.5303𝑒−5	3.1822𝑒−4	1.602𝑒−2