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Theory and Modern Applications

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

[24] and [30]

0.1

0.99465383

0.99464116

1.18E-05

4.09E-04

0.2

0.97712221

0.97707373

4.29E-05

7.78E-04

0.3

0.94490117

0.94480278

8.53E-05

1.07E-03

0.4

0.89509482

0.89494682

1.28E-04

1.26E-03

0.5

0.82436064

0.82417890

1.59E-04

1.32E-03

0.6

0.72884752

0.72866061

1.67E-04

1.26E-03

0.7

0.60412581

0.60396796

1.45E-04

1.07E-03

0.8

0.44510819

0.44500816

9.47E-05

7.78E-04

0.9

0.24596031

0.24592622

3.33E-05

4.09E-04

  1. Error* = Exact solution − Approximate solution