Theory and Modern Applications
Table 2 Numerical results of the RK solutions at different values of t of Example 4.1
t | Approximation u(t) | Approximation v(t) | Absolute Error u(t) | Absolute Error v(t) |
|---|---|---|---|---|
0. | 1 | 1 | 0. | 0. |
0.025 | 1.831067484 | 0.07135645072 | 1.017833134 × 10−3 | 1.052747859 × 10−3 |
0.050 | 1.820045141 | −0.01040257192 | 4.767065702 × 10−4 | 4.444399909 × 10−4 |
0.075 | 1.738843886 | −0.01745772685 | 1.225318916 × 10−4 | 9.273820249 × 10−5 |
0.100 | 1.654770941 | −0.01733692021 | 4.119853098 × 10−5 | 1.371327217 × 10−5 |
0.125 | 1.574138216 | −0.01656198091 | 2.730470746 × 10−5 | 1.973578751 × 10−6 |
0.150 | 1.49737419 | −0.01576107085 | 2.377144355 × 10−5 | 4.497046152 × 10−7 |
0.175 | 1.424347792 | −0.01499306097 | 2.169909736 × 10−5 | 2.510022328 × 10−7 |
0.200 | 1.354882302 | −0.01426191185 | 1.991383853 × 10−5 | 2.12102572 × 10−7 |
0.225 | 1.288804592 | −0.01356636344 | 1.826725615 × 10−5 | 1.925535892 × 10−7 |
0.250 | 1.225949491 | −0.01290473142 | 1.67357026 × 10−5 | 1.761929954 × 10−7 |