Theory and Modern Applications
Table 9 Comparison of absolute errors for Example 5 ( \(\pmb{k=2, 3}\) )
x | Exact solution | Absolute error k  = 2, M  = 3 | Absolute error k  = 2, M  = 4 | Absolute error k  = 3, M  = 3 | Absolute error k  = 3, M  = 4 |
|---|---|---|---|---|---|
0.1 | 0.009 | 8.96289e−10 | 3.92161e−10 | 5.95982e−12 | 7.96377e−12 |
0.2 | 0.032 | 8.72558e−10 | 3.32835e−10 | 2.50069e−11 | 1.72426e−11 |
0.3 | 0.063 | 8.44767e−10 | 3.09044e−10 | 3.99208e−11 | 2.53607e−11 |
0.4 | 0.096 | 8.01978e−10 | 3.03655e−10 | 6.62202e−11 | 1.77049e−11 |
0.5 | 0.125 | 7.15163e−10 | 2.80179e−10 | 9.72653e−11 | 1.43694e−11 |
0.6 | 0.144 | 7.48198e−10 | 3.93943e−12 | 9.33972e−11 | 2.52972e−11 |
0.7 | 0.147 | 9.12601e−10 | 1.80271e−10 | 8.55649e−11 | 4.49204e−11 |
0.8 | 0.128 | 9.68271e−10 | 6.99664e−11 | 1.43124e−10 | 4.37169e−11 |
0.9 | 0.081 | 7.16510e−10 | 3.93030e−11 | 3.19812e−10 | 4.91018e−11 |