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Theory and Modern Applications

Table 6 Algebraic outcomes for Problem 2 at \(h=\frac{1}{10}\)

From: Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline

z

Exact solution

Cubic B-spline solution

Absolute error at \(h= \frac{1}{10}\)

0.1

0.099465383

0.099427251

3.81E-05

0.2

0.195424441

0.195265639

1.59E-04

0.3

0.283470350

0.283129607

3.41E-04

0.4

0.358037927

0.357504923

5.33E-04

0.5

0.412180318

0.411506700

6.74E-04

0.6

0.437308512

0.436600310

7.08E-04

0.7

0.422888069

0.422279569

6.08E-04

0.8

0.356086549

0.355695711

3.91E-04

0.9

0.221364280

0.221229780

1.35E-04