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- Title
Application of Coupled Map Lattice as an Alternative to Classical Finite Difference Method for Solving the Convection-Diffusion Boundary Value Problem.
- Authors
Korus, Lukasz
- 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 stud- ied 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.
- Subjects
COUPLED map lattices; BOUNDARY value problems; FINITE difference method; NUMERICAL solutions to boundary value problems; COMPUTER simulation
- Publication
Complex Systems, 2021, Vol 30, Issue 1, p47
- ISSN
0891-2513
- Publication type
Article
- DOI
10.25088/ComplexSystems.30.1.47