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Theory and Modern Applications

Table 10 Algebraic outcomes for Problem 3 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

0.000729

0.000504

2.25E-04

0.2

0.004096

0.003360

7.36E-04

0.3

0.009261

0.007980

1.28E-03

0.4

0.013824

0.012144

1.68E-03

0.5

0.015625

0.013800

1.83E-03

0.6

0.013824

0.012144

1.68E-03

0.7

0.009261

0.007980

1.28E-03

0.8

0.004096

0.003360

7.36E-04

0.9

0.000729

0.000504

2.25E-04