Theory and Modern Applications
t | \(u_{1}(t)\) exact | EE with \(u_{1}(T)=\sin (T)\) | Corrected EE | TR with \(u_{1}(T)=\sin (T)\) | Corrected TR |
---|---|---|---|---|---|
0 | 1 | 0.00676985 | 1.0014 | 1.00073 | 0.9999 |
0.001 | 1 | 0.00676982 | 1.0014 | 1.00073 | 0.999901 |
0.002 | 1 | 0.0067698 | 1.0014 | 1.00073 | 0.999902 |
0.003 | 1 | 0.00676978 | 1.0014 | 1.00074 | 0.999905 |
0.004 | 1.00001 | 0.00676978 | 1.0014 | 1.00074 | 0.999908 |
0.005 | 1.00001 | 0.00676977 | 1.00141 | 1.00074 | 0.999913 |
0.006 | 1.00002 | 0.00676978 | 1.00141 | 1.00075 | 0.999919 |
0.007 | 1.00002 | 0.00676979 | 1.00142 | 1.00075 | 0.999925 |
0.008 | 1.00003 | 0.00676981 | 1.00142 | 1.00076 | 0.999933 |
0.009 | 1.00004 | 0.00676983 | 1.00143 | 1.00077 | 0.999941 |
0.01 | 1.00005 | 0.00676987 | 1.00144 | 1.00078 | 0.99995 |
0.05 | 1.00117 | 0.0067762 | 1.00251 | 1.00187 | 1.00107 |
0.1 | 1.00438 | 0.00679644 | 1.00567 | 1.00505 | 1.00429 |
0.15 | 1.00924 | 0.00682785 | 1.01048 | 1.00987 | 1.00915 |
0.2 | 1.01539 | 0.00686808 | 1.0166 | 1.01599 | 1.01531 |
0.25 | 1.02253 | 0.00691504 | 1.02371 | 1.0231 | 1.02246 |