| Issue |
ITM Web Conf.
Volume 75, 2025
The Second International Conference on Mathematical Analysis and Its Applications (ICONMAA 2024)
|
|
|---|---|---|
| Article Number | 02007 | |
| Number of page(s) | 9 | |
| Section | Differential Equations | |
| DOI | https://doi.org/10.1051/itmconf/20257502007 | |
| Published online | 21 February 2025 | |
Stability Analysis of Mixing Problem with Cascading Tanks
1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia.
2 Center for Mathematics and Society, Faculty of Science, Parahyangan Catholic University, Bandung, Indonesia.
* e-mail: robby@unpar.ac.id
** e-mail: jalina@itb.ac.id
Several cases of mixing problems which yield to a system of first order differential equations are investigated. When the perfectly mixed assumption is lifted, the model will be changed into a system of delay differential equation. The method of steps can be employed to find its solution. The behavior of the solutions is also compared to the behavior of the solution of the corresponding ordinary equations, especially its stability. The stability aspect can be analyzed by considering the solution of the characteristic equation corresponding to its system.
Key words: mixing problem / mixing time / delay differential equation / stability analysis
© The Authors, published by EDP Sciences, 2025
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