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Table 1 The numerical solution and exact solution of Example 1

From: Twelfth degree spline with application to quadrature

x

Exact solution

Approximation solution

Absolute error

0.0

0

0

0

0.1

0.182321556793955

0.182321556793934

2.073341498487480e−014

0.2

0.336472236621213

0.336472236621190

2.303712776097200e−014

0.3

0.470003629245736

0.470003629245712

2.353672812205332e−014

0.4

0.587786664902119

0.587786664902095

2.364775042451583e−014

0.5

0.693147180559945

0.693147180559922

2.364775042451583e−014

0.6

0.788457360364270

0.788457360364247

2.375877272697835e−014

0.7

0.875468737353900

0.875468737353876

2.353672812205332e−014

0.8

0.955511445027436

0.955511445027413

2.375877272697835e−014

0.9

1.029619417181158

1.029619417181135

2.353672812205332e−014

1.0

1.098612288668110

1.098612288668086

2.353672812205332e−014