Theory and Modern Applications
t | Exact u(t) | Approximation u(t) | Absolute Error | Relative Error |
---|---|---|---|---|
0.000 | 1. | 1. | 0. | 0. |
0.025 | 1.830049650419 | 1.8300496504186 | 6.661338147751 × 10−16 | 3.639976732996 × 10−16 |
0.050 | 1.820521847980 | 1.8205218479801 | 4.218847493576 × 10−15 | 2.317383610780 × 10−15 |
0.075 | 1.7389664179059 | 1.7389664179059 | 1.998401444325 × 10−15 | 1.149189210181 × 10−15 |
0.100 | 1.6548121396395 | 1.6548121396396 | 6.017408793468 × 10−14 | 3.636309312294 × 10−14 |
0.125 | 1.574165520630 | 1.5741655206310 | 1.418198891656 × 10−12 | 9.009210740996 × 10−13 |
0.150 | 1.4973979619154 | 1.4973979619805 | 6.508638072944 × 10−11 | 4.346632116834 × 10−11 |
0.175 | 1.4243694914073 | 1.4243694910746 | 3.326674491433 × 10−10 | 2.335541803936 × 10−10 |
0.200 | 1.3549022160256 | 1.3549022084615 | 7.564062487475 × 10−9 | 5.582736818944 × 10−9 |
0.225 | 1.2888228592360 | 1.2888227498472 | 1.093887884718 × 10−7 | 8.487495988131 × 10−8 |
0.250 | 1.2259662270401 | 1.2259657966770 | 4.303631988556 × 10−7 | 3.510400118400 × 10−7 |
t | Exact v(t) | Approximation v(t) | Absolute Error | Relative Error |
---|---|---|---|---|
0.000 | 1. | 1. | 0. | 0. |
0.025 | 0.0724091985828 | 0.0724091985828 | 2.3592239273 × 10−16 | 3.2581826253 × 10−15 |
0.050 | −0.010847011908 | −0.010847011908 | 3.2734231992 × 10−15 | 3.0178110130 × 10−13 |
0.075 | −0.0175504650558 | −0.0175504650558 | 1.3850032232 × 10−14 | 7.8915471403 × 10−13 |
0.100 | −0.0173506334835 | −0.0173506334839 | 3.6409417148 × 10−13 | 2.0984488654 × 10−11 |
0.125 | −0.0165639544868 | −0.0165639544956 | 8.8100464424 × 10−12 | 5.3188062364 × 10−10 |
0.150 | −0.0157615205520 | −0.0157615206823 | 1.3034362131 × 10−10 | 8.2697364688 × 10−9 |
0.175 | −0.0149933119699 | −0.0149933122356 | 2.6574836429 × 10−10 | 1.7724460401 × 10−8 |
0.200 | −0.0142621239543 | −0.0142621227122 | 1.2421122308 × 10−9 | 8.7091672654 × 10−8 |
0.225 | −0.0135665559925 | −0.0135665780247 | 2.2032217302 × 10−8 | 1.6240096100 × 10−6 |
0.250 | −0.0129049076149 | −0.0129052984430 | 3.9082809609 × 10−7 | 3.0285230070 × 10−5 |