Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method | Zendy

Ann Al Sawoor | Zendy; Mohammed O. AlAmr | Zendy

Open Access

Numerical Solution of a Reaction-Diffusion System with Fast Reversible Reaction by Using Adomian’s Decomposition Method and He’s Variational Iteration Method

Author(s) -

Ann Al Sawoor,

Mohammed O. AlAmr

Publication year - 2012

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.2012.163715

Subject(s) - adomian decomposition method , mathematics , lagrange multiplier , reaction–diffusion system , decomposition , decomposition method (queueing theory) , multiplier (economics) , diffusion , exact solutions in general relativity , mathematical analysis , partial differential equation , mathematical optimization , physics , thermodynamics , chemistry , discrete mathematics , organic chemistry , economics , macroeconomics

In this paper, the approximate solution of a reaction-diffusion system with fast reversible reaction is obtained by using Adomian decomposition method (ADM) and variational iteration method (VIM) which are two powerful methods that were recently developed. The VIM requires the evaluation of the Lagrange multiplier, whereas ADM requires the evaluation of the Adomian polynomials. The behavior of the approximate solutions and the effects of different values of t are shown graphically.

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