Open AccessA Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems
Author(s) -
Abbas Al-Bayati,
Saad Manaa,
Abdulghafor M. Al-Rozbayani
Publication year - 2006
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2006.164050
Subject(s) - crank–nicolson method , crank , autocatalysis , dimension (graph theory) , diffusion , autocatalytic reaction , reaction–diffusion system , chemical reaction , mathematics , thermodynamics , chemistry , numerical analysis , statistical physics , physics , mathematical analysis , classical mechanics , kinetics , geometry , organic chemistry , cylinder , pure mathematics
In this paper we used two numerical methods to investigate propagating heat solutions of PDEs. The explicit and Crank-Nicolson methods and the results show that Crank-Nicolson method is more accurate than the explicit method. As an illustration, we used the above method to an autocatalytic reaction diffusion equations involving two diffusing chemicals in one dimension.
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