Theory and Modern Applications
z | Exact solution | Cubic B-spline solution | Absolute error at \(h= \frac{1}{10}\) | |
---|---|---|---|---|
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 |