Package for solving Differential equations with Discrete and Distributed delays by the explicit Runge-Kutta method.
- Python 3.9 (VERSION ≥ v"3.6")
- numpy
- matplotlib
- Jupyter Notebook / Google Colaboratory
from RK.ide import ide_solve
sol = ide_solve(idefun, K, delays_int, history, tspan, stepsize, delays=delays, overlapping=True)
| # | Argument | Description |
|---|---|---|
| 1 | idefun | right-hand side function (t - time, y - solution, z - discrete delays, i - integrals) |
| 2 | K | Kernel (integrated function) |
| 3 | delays_int | distributed delays function (lower integration limit) |
| 4 | history | history function |
| 5 | tspan | solution interval |
| 6 | stepsize | step of numerical Runge-Kutta method |
| 7 | delays | (optional) discrete delays function (if idefun has 'z') |
| 8 | overlapping | (optional) if equation has overlapping in discrete delays. This option uses the 7-step method |
Examples of use can be found in the Notebook and in scripts from the folder /Scripts.
- Aleksandr Lobaskin (Saint Petersburg State University)
- Alexey Eremin (Saint Petersburg State University)
- Yukihiko Nakata (Shimane University) (examples from SIR-models)
"RK-IDE-Julia" is under MIT license.