Table 6 Approximate solution of Smoking epidemic model with fixed \(\mu =1\) at various values of \(\tau\).
From: A novel technique to study the solutions of time fractional nonlinear smoking epidemic model
\(\tau\) | NTDM\(_{C}\) | NTDM\(_{CF}\) | NTDM\(_{ABC}\) | q-HATM55 | LADM15 | NTDM\(_{C}\) | NTDM\(_{CF}\) | NTDM\(_{ABC}\) | q-HATM55 | LADM15 |
|---|---|---|---|---|---|---|---|---|---|---|
\(V(\tau )\) | \(G(\tau )\) | |||||||||
0 | 40 | 40 | 40 | 40 | 40 | 10 | 10 | 10 | 10 | 10 |
0.1 | 30.8717 | 30.8717 | 30.8717 | 30.7667 | 30.7738 | 15.0559 | 15.0559 | 15.0559 | 15.0559 | 19.0721 |
0.2 | 25.8868 | 25.8868 | 25.8868 | 25.6668 | 25.7037 | 19.0756 | 19.0756 | 19.0756 | 19.0756 | 23.9787 |
0.3 | 25.0452 | 25.0452 | 25.0452 | 24.7002 | 24.8025 | 22.059 | 22.059 | 22.059 | 22.059 | 24.6999 |
0.4 | 28.347 | 28.347 | 28.347 | 27.867 | 28.0829 | 24.0063 | 24.0063 | 24.0063 | 24.0063 | 21.2122 |
0.5 | 35.7923 | 35.7923 | 35.7923 | 35.1672 | 35.5576 | 24.9173 | 24.9173 | 24.9173 | 24.9173 | 13.4978 |
\(T(\tau )\) | \(O(\tau )\) | |||||||||
0 | 20 | 20 | 20 | 20 | 20 | 10 | 10 | 10 | 10 | 10 |
0.1 | 18.4244 | 18.4244 | 18.4244 | 18.4244 | 18.1142 | 11.276 | 11.276 | 11.276 | 11.276 | 11.2543 |
0.2 | 16.9938 | 16.9938 | 16.9938 | 16.9938 | 16.9805 | 12.4241 | 12.4241 | 12.4241 | 12.4241 | 12.3374 |
0.3 | 15.708 | 15.708 | 15.708 | 15.708 | 15.6782 | 13.4443 | 13.4443 | 13.4443 | 13.4443 | 13.2429 |
0.4 | 14.5671 | 14.5671 | 14.5671 | 14.5671 | 14.5141 | 14.3365 | 14.3365 | 14.3365 | 14.3365 | 13.9896 |
0.5 | 13.5711 | 13.5711 | 13.5711 | 13.5711 | 13.4883 | 15.1008 | 15.1008 | 15.1008 | 15.1008 | 14.5587 |
