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Theory and Modern Applications

Table 14 Algebraic outcomes for Problem 4 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

1.094837582

1.094840345

2.76E-06

0.2

1.178735909

1.178742216

6.31E-06

0.3

1.250856696

1.250865071

8.38E-06

0.4

1.310479336

1.310489051

9.72E-06

0.5

1.357008100

1.357019339

1.12E-05

0.6

1.389978088

1.389990786

1.27E-05

0.7

1.409059875

1.409072555

1.27E-05

0.8

1.414062800

1.414072477

9.68E-06

0.9

1.404936878

1.404940836

3.96E-06