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Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 10, Volume 10, Issue 3, 2013, Pages 117-128 PDF (629.41 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2013.163531 | ||
| Authors | ||
| Ann Jalal; Mohammed O. Al-Amr | ||
| Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq | ||
| 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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