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 | 0 | 2.24598e−005 | −3.58392e − 013 | 0.000833333 | 1.93341e−013 |
0.001 | 0.001 | 2.91978e−005 | 0.001 | 0.00183333 | 0.001 |
0.002 | 0.002 | 3.59357e−005 | 0.002 | 0.00283333 | 0.002 |
0.003 | 0.003 | 4.26735e−005 | 0.003 | 0.00383332 | 0.003 |
0.004 | 0.00399999 | 4.94114e−005 | 0.004 | 0.00483331 | 0.00399999 |
0.005 | 0.00499998 | 5.61492e−005 | 0.00499999 | 0.0058333 | 0.00499998 |
0.006 | 0.00599996 | 6.28869e−005 | 0.00599998 | 0.00683328 | 0.00599996 |
0.007 | 0.00699994 | 6.96246e−005 | 0.00699997 | 0.00783325 | 0.00699994 |
0.008 | 0.00799991 | 7.63622e−005 | 0.00799994 | 0.00883322 | 0.00799991 |
0.009 | 0.00899988 | 8.30998e−005 | 0.00899992 | 0.00983317 | 0.00899988 |
0.01 | 0.00999983 | 8.98373e−005 | 0.00999988 | 0.0108331 | 0.00999983 |
0.05 | 0.0499792 | 0.000359197 | 0.0499804 | 0.0508114 | 0.0499792 |
0.1 | 0.0998334 | 0.000695052 | 0.0998384 | 0.100663 | 0.0998334 |
0.15 | 0.149438 | 0.00102919 | 0.149449 | 0.150262 | 0.149438 |
0.2 | 0.198669 | 0.00136077 | 0.198689 | 0.199486 | 0.198669 |
0.25 | 0.247404 | 0.00168896 | 0.247435 | 0.248211 | 0.247404 |