THERMAL SCIENCE

International Scientific Journal

Xiao-Li Zhang

,

Wei Zhang

,

Yu-Lan Wang

,

Ting-Ting Ban

THE SPACE SPECTRAL INTERPOLATION COLLOCATION METHOD FOR REACTION-DIFFUSION SYSTEMS

ABSTRACT
A space spectral interpolation collocation method is proposed to study non-linear reaction-diffusion systems with complex dynamics characters. A detailed solution process is elucidated, and some pattern formations are given. The numerical results have a good agreement with theoretical ones. The method can be extended to fractional calculus and fractal calculus.
KEYWORDS
complex dynamics characters, Turing bifurcation condition, space spectral interpolation collocation method, numerical simulation, reaction-diffusion, fractal derivative
PAPER SUBMITTED: 2020-04-02
PAPER REVISED: 2020-06-26
PAPER ACCEPTED: 2020-06-28
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200402022Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 2, PAGES [1269 - 1275]
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The space spectral interpolation collocation method for reaction-diffusion systems

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