Theory and Modern Applications
Table 10 Comparison of absolute errors for Example 6 ( \(\pmb{k=2}\) )
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 | 2.55607e−7 | 8.14189e−7 | 1.81121e−8 | 1.21233e−9 | 3.14035e−10 |
0.2 | 0.3030154228323 | 4.26548e−7 | 8.60558e−7 | 1.57268e−8 | 1.29968e−9 | 3.06900e−10 |
0.3 | 0.286047265304854 | 1.31980e−6 | 8.60956e−7 | 1.57118e−8 | 1.31094e−9 | 2.98647e−10 |
0.4 | 0.262531127456033 | 8.54592e−7 | 8.45643e−7 | 1.38501e−8 | 1.26470e−9 | 2.88410e−10 |
0.5 | 0.232696783873834 | 5.95794e−7 | 8.74915e−7 | 1.51067e−8 | 1.33441e−9 | 2.82368e−10 |
0.6 | 0.196826805692954 | 4.48716e−8 | 6.66434e−7 | 1.27714e−8 | 1.07644e−9 | 2.13563e−10 |
0.7 | 0.155248106682756 | 2.34595e−7 | 4.72070e−7 | 7.86159e−9 | 7.56736e−10 | 1.50629e−10 |
0.8 | 0.108322763444465 | 9.46220e−7 | 3.02305e−7 | 5.09872e−9 | 4.93439e−10 | 9.44874e−11 |
0.9 | 0.0564386024692362 | 4.47318e−7 | 1.49726e−7 | 1.05906e−9 | 2.86694e−10 | 4.39479e−11 |