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AL-Rafidain Journal of Computer Sciences and Mathematics

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Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction

    Ann Jalal Mohammed O. Al-Amr

AL-Rafidain Journal of Computer Sciences and Mathematics, 2013, Volume 10, Issue 3, Pages 117-128
10.33899/csmj.2013.163531

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Abstract

In this paper, the stability analysis is performed on two Galerkin finite element schemes for solving reaction-diffusion system with fast reversible reaction.  Fourier (Von Neumann) method is implemented to propose time-step criteria for the consistent and the lumped schemes with four popular choices for . We have found that the two schemes are unconditionally stable when , while the consistent scheme is stable under the conditions  and  when . Also, the lumped scheme is stable under the conditions  and  when .
 
 
Keywords:
    finite element scheme reaction-diffusion system consistent scheme lumped scheme
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(2013). Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction. AL-Rafidain Journal of Computer Sciences and Mathematics, 10(3), 117-128. doi: 10.33899/csmj.2013.163531
Ann Jalal; Mohammed O. Al-Amr. "Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction". AL-Rafidain Journal of Computer Sciences and Mathematics, 10, 3, 2013, 117-128. doi: 10.33899/csmj.2013.163531
(2013). 'Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction', AL-Rafidain Journal of Computer Sciences and Mathematics, 10(3), pp. 117-128. doi: 10.33899/csmj.2013.163531
Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction. AL-Rafidain Journal of Computer Sciences and Mathematics, 2013; 10(3): 117-128. doi: 10.33899/csmj.2013.163531
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