Stability Analysis of Mixing Problem with Cascading Tanks Robby, Jalina Widjaja
Department of Mathematics, Faculty of Mathematics and Natural Sciences,
Bandung Institute of Technology, Bandung, Indonesia.
(E-mail: robbyrobbyby[at]gmail.com, jalina[at]itb.ac.id)
Abstract
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.
Keywords: Key words and Phrases: mixing problem, mixing time, delay differential equation, stability analysis
