Application of Coupled Map Lattice as an Alternative to Classical Finite Difference Method for Solving the Convection-Diffusion Boundary Value Problem
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Published:2021-02-15
Issue:1
Volume:30
Page:47-73
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ISSN:0891-2513
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Container-title:Complex Systems
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language:
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Short-container-title:ComplexSystems
Abstract
This paper presents a mathematical model for a piston flow reactor based on the material balance law using partial differential equations. A more general, nondimensional variant of the model is also derived. The finite difference method and coupled map lattice are used to create numerical algorithms to simulate spatio-temporal behavior in the studied system. The paper also includes a stability analysis of the proposed algorithms and results of numerous numerical simulations, done in order to compare both methods and to visualize the spatio-temporal behavior of the reactor and the effects of different model parameters. Discussion of the obtained results and comparison of both algorithms is also provided.
Publisher
Wolfram Research, Inc.
Subject
General Computer Science,Control and Systems Engineering