Abstract
The aim of this work is to provide an efficient technique for numerical solutions of the reaction–dispersion equations including convection and diffusion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to efficiently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.
Keywords
Chebyshev filter
Dispersion (optics)
Spectral method
Collocation (remote sensing)
Collocation method
Mathematics
Convergence (economics)
Space (punctuation)
Chebyshev polynomials
Type (biology)
Mathematical analysis
Reaction–diffusion system
Applied mathematics
Diffusion
Work (physics)
Physics
Computer science
Differential equation
Optics
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Differential Equations and Numerical Methods
·Numerical Analysis ·Physical Sciences
Citations by Year
2023: 1
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