Stability Analysis of Fisher Equation Using Numerical Galerkin Techniques

We studied the stability of the steady state solutions for Fisher Equation in two cases, the First one with constant amplitude and we show that the steady state solution is always stable under any condition, but the other two solutions and  are conditionally stable.<br /> In the Second case, w...

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Bibliographic Details
Main Authors: Saad Manna, Ahmed Qassem
Format: Article
Language:English
Published: Mosul University 2006-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_164057_8f43cd53c5fddb23ec57182b47fbd93f.pdf
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Summary:We studied the stability of the steady state solutions for Fisher Equation in two cases, the First one with constant amplitude and we show that the steady state solution is always stable under any condition, but the other two solutions and  are conditionally stable.<br /> In the Second case, we studied the steady state solutions for various amplitude by using two Methods. The First is analytically by direct Method and the second is numerical method using Galerkin technique which shows the same results, that is the steady state solution  is always stable under any conditions, but the other two solutions and are conditionally stable.<br />
ISSN:1815-4816
2311-7990