Skip to main content

Advertisement

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