Numerical Methods for a Non-linear System Arising in Chemical Kinetics

Two numerical methods are proposed for the solution of a system of two dimensional reaction-diffusion equations with cubic non-linearity, known as the "Brusselator" system. The first method is derived using finite difference techniques and the solution is obtained in paralled using two pro...

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Main Authors: Gumel, A. B., Twizell, E. H., Arigu, M. A., Fakhir, F.
Format: Article
Language:English
English
Published: Universiti Putra Malaysia Press 1997
Online Access:http://psasir.upm.edu.my/id/eprint/3335/1/Numerical_Methods_for_a_Non-linear_System_Arising_in.pdf
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author Gumel, A. B.
Twizell, E. H.
Arigu, M. A.
Fakhir, F.
author_facet Gumel, A. B.
Twizell, E. H.
Arigu, M. A.
Fakhir, F.
author_sort Gumel, A. B.
collection UPM
description Two numerical methods are proposed for the solution of a system of two dimensional reaction-diffusion equations with cubic non-linearity, known as the "Brusselator" system. The first method is derived using finite difference techniques and the solution is obtained in paralled using two processors running concurrently. The second method is based on a predictor-eorrector technique. This system of equations has important applications in chemical kinetics.
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spelling upm.eprints-33352013-05-27T07:07:21Z http://psasir.upm.edu.my/id/eprint/3335/ Numerical Methods for a Non-linear System Arising in Chemical Kinetics Gumel, A. B. Twizell, E. H. Arigu, M. A. Fakhir, F. Two numerical methods are proposed for the solution of a system of two dimensional reaction-diffusion equations with cubic non-linearity, known as the "Brusselator" system. The first method is derived using finite difference techniques and the solution is obtained in paralled using two processors running concurrently. The second method is based on a predictor-eorrector technique. This system of equations has important applications in chemical kinetics. Universiti Putra Malaysia Press 1997 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/3335/1/Numerical_Methods_for_a_Non-linear_System_Arising_in.pdf Gumel, A. B. and Twizell, E. H. and Arigu, M. A. and Fakhir, F. (1997) Numerical Methods for a Non-linear System Arising in Chemical Kinetics. Pertanika Journal of Science & Technology, 5 (2). pp. 191-200. ISSN 0128-7680 English
spellingShingle Gumel, A. B.
Twizell, E. H.
Arigu, M. A.
Fakhir, F.
Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title_full Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title_fullStr Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title_full_unstemmed Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title_short Numerical Methods for a Non-linear System Arising in Chemical Kinetics
title_sort numerical methods for a non linear system arising in chemical kinetics
url http://psasir.upm.edu.my/id/eprint/3335/1/Numerical_Methods_for_a_Non-linear_System_Arising_in.pdf
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