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DISCRETIZATION OF COCURRENT REACTION‐ADVECTION PROCESSES PRESERVING THE FIR PROPERTY
Author(s) -
Choi Jinhoon
Publication year - 2007
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2007.tb00317.x
Subject(s) - discretization , advection , finite impulse response , mathematics , partial differential equation , ftcs scheme , finite difference , impulse (physics) , finite difference scheme , mathematical analysis , control theory (sociology) , differential equation , ordinary differential equation , computer science , control (management) , algorithm , physics , differential algebraic equation , classical mechanics , artificial intelligence , thermodynamics
A cocurrent reaction‐advection process represented by a system of first order hyperbolic partial differential equations (PDE's) has a desirable feature of finite impulse response (FIR) that allows easy identification and control. However, this desirable characteristic hasn't been exploited since all of the known finite difference discretization schemes do not preserve this desirable characteristic. In this note, we propose a finite difference discretization scheme that preserves the FIR property.