Theory and Modern Applications
x | Exact solution | Absolute error M  = 3 | Absolute error M  = 4 | Absolute error M  = 5 | Absolute error M  = 6 | Absolute error M  = 7 |
---|---|---|---|---|---|---|
0.1 | 0.313265850498063 | 1.12155e−7 | 7.47073e−8 | 7.77016e−11 | 2.25000e−11 | 1.12567e−11 |
0.2 | 0.3030154228323 | 1.18254e−7 | 7.42881e−8 | 7.21018e−11 | 2.28459e−11 | 1.06202e−11 |
0.3 | 0.286047265304854 | 8.26092e−8 | 6.72829e−8 | 1.32635e−10 | 1.64894e−11 | 9.71828e−12 |
0.4 | 0.262531127456033 | 7.92919e−8 | 5.59685e−8 | 1.80870e−10 | 5.77443e−12 | 8.57608e−12 |
0.5 | 0.232696783873834 | 3.19442e−8 | 4.68132e−8 | 2.27523e−10 | 2.24772e−12 | 7.28159e−12 |
0.6 | 0.196826805692954 | 1.34284e−8 | 3.36344e−8 | 2.33153e−10 | 8.22350e−12 | 5.78329e−12 |
0.7 | 0.155248106682756 | 6.97215e−9 | 2.21505e−8 | 2.24769e−10 | 1.30745e−11 | 4.31280e−12 |
0.8 | 0.108322763444465 | 3.25668e−8 | 1.34976e−8 | 1.93600e−10 | 1.16738e−11 | 2.82023e−12 |
0.9 | 0.0564386024692362 | 8.78766e−9 | 6.50385e−9 | 8.87945e−11 | 5.50390e−12 | 1.33990e−12 |