Theory and Modern Applications
Table 7 Numerical results of reservoir population \(Q(t)\) for fractional parameter \(\tau=0.7,0.8,0.9,1\) and comparison between classical and approximate solution
t | Reservoir population Q(t) | Absolute error | |||
|---|---|---|---|---|---|
α = 0.7 | α = 0.8 | α = 0.9 | α = 1 | ||
0 | 9901.27 | 9900.9 | 9900.68 | 9900.61 | 0 |
15 | 10,042.4 | 10,166.6 | 10,194.8 | 10,216.9 | 0 |
30 | 9992.84 | 9777.12 | 9447.94 | 8986.48 | 5.45697 × 10−12 |
45 | 8357.09 | 7058.65 | 5276.77 | 2940.08 | 2.27394 × 10−11 |
60 | 4105.23 | 337.37 | 0 | 0 | 4.18368 × 10−11 |