Open AccessA diffusion and osmosis system with bounded nonlinearity
Author(s) -
Dede Suratman,
Yudi Soeharyadi,
Edi Cahyono,
Lukman H. Arbi,
Elvira P. de Lara-Tuprio
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1899/1/012105
Subject(s) - bounded function , nonlinear system , diffusion , mathematics , osmosis , exponential function , forcing (mathematics) , ordinary differential equation , mathematical analysis , mechanics , differential equation , physics , membrane , thermodynamics , chemistry , biochemistry , quantum mechanics
A diffusion and osmosis system of ordinary differential equation is considered. The system may represent migration of finite particle among finite places. Such system in the linear form yields a solution in the form of matrix exponential. In this paper, a bounded nonlinear forcing to the system is considered. Although it is bounded, the nonlinear affected so much to the solution. Numerical simulation of some two-dimensional examples are presented. Understanding the diffusion and osmosis system will be important for studying migration people among towns, cities or countries.