Theory and Modern Applications
t | \(u_{2}(t)\) exact | EE with \(u_{2}(T)=\cos (T)\) | Corrected EE | TR with \(u_{2}(T)=\cos (T)\) | Corrected TR |
---|---|---|---|---|---|
0 | 1 | 0.00673793 | 1 | 1 | 1 |
0.001 | 1 | 0.0067379 | 1 | 0.999998 | 0.999999 |
0.002 | 0.999998 | 0.00673787 | 0.999999 | 0.999996 | 0.999998 |
0.003 | 0.999996 | 0.00673784 | 0.999997 | 0.999993 | 0.999995 |
0.004 | 0.999992 | 0.0067378 | 0.999994 | 0.999988 | 0.999992 |
0.005 | 0.999988 | 0.00673775 | 0.99999 | 0.999983 | 0.999987 |
0.006 | 0.999982 | 0.00673769 | 0.999985 | 0.999977 | 0.999982 |
0.007 | 0.999976 | 0.00673763 | 0.999979 | 0.999969 | 0.999975 |
0.008 | 0.999968 | 0.00673756 | 0.999972 | 0.999961 | 0.999968 |
0.009 | 0.99996 | 0.00673748 | 0.999964 | 0.999952 | 0.999959 |
0.01 | 0.99995 | 0.0067374 | 0.999955 | 0.999941 | 0.99995 |
0.05 | 0.99875 | 0.00672855 | 0.998775 | 0.998708 | 0.99875 |
0.1 | 0.995004 | 0.00670236 | 0.995054 | 0.994921 | 0.995004 |
0.15 | 0.988771 | 0.00665941 | 0.988845 | 0.988646 | 0.988771 |
0.2 | 0.980067 | 0.00659981 | 0.980165 | 0.979901 | 0.980067 |
0.25 | 0.968912 | 0.00652372 | 0.969034 | 0.968706 | 0.968912 |