Stability Analysis for Steady State Solutions of Huxley Equation

Stability analysis of steady state solutions of Huxley equation using Fourier mode stability analysis in two cases is investigated. Firstly when the amplitude is constant and secondly when the amplitude is variable and the results were found to be: The solutions and  are  always stable while the sol...

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Main Authors: Saad Manaa, Mohammad Sabawi
Format: Article
Language:English
Published: Mosul University 2005-06-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_164069_d79359c0171db5c0e624fa27ec020ef9.pdf
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author Saad Manaa
Mohammad Sabawi
author_facet Saad Manaa
Mohammad Sabawi
author_sort Saad Manaa
collection DOAJ
description Stability analysis of steady state solutions of Huxley equation using Fourier mode stability analysis in two cases is investigated. Firstly when the amplitude is constant and secondly when the amplitude is variable and the results were found to be: The solutions and  are  always stable while the solutions  and  are conditionally stable. In the second case, a comparison between the analytical solution and the numerical solution of Galerkin method is done and the results are the same.
format Article
id doaj-art-55c2988ef40645e3addb3938bea146ef
institution OA Journals
issn 1815-4816
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language English
publishDate 2005-06-01
publisher Mosul University
record_format Article
series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-55c2988ef40645e3addb3938bea146ef2025-08-20T01:50:57ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902005-06-0121698410.33899/csmj.2005.164069164069Stability Analysis for Steady State Solutions of Huxley EquationSaad Manaa0Mohammad Sabawi1College of Computers Sciences & Mathematics University of Mosul, IraqCollege of Computer sciences and Mathematics University of Mosul, IraqStability analysis of steady state solutions of Huxley equation using Fourier mode stability analysis in two cases is investigated. Firstly when the amplitude is constant and secondly when the amplitude is variable and the results were found to be: The solutions and  are  always stable while the solutions  and  are conditionally stable. In the second case, a comparison between the analytical solution and the numerical solution of Galerkin method is done and the results are the same.https://csmj.mosuljournals.com/article_164069_d79359c0171db5c0e624fa27ec020ef9.pdfhuxley equationstability analysissteady-state solutions
spellingShingle Saad Manaa
Mohammad Sabawi
Stability Analysis for Steady State Solutions of Huxley Equation
Al-Rafidain Journal of Computer Sciences and Mathematics
huxley equation
stability analysis
steady-state solutions
title Stability Analysis for Steady State Solutions of Huxley Equation
title_full Stability Analysis for Steady State Solutions of Huxley Equation
title_fullStr Stability Analysis for Steady State Solutions of Huxley Equation
title_full_unstemmed Stability Analysis for Steady State Solutions of Huxley Equation
title_short Stability Analysis for Steady State Solutions of Huxley Equation
title_sort stability analysis for steady state solutions of huxley equation
topic huxley equation
stability analysis
steady-state solutions
url https://csmj.mosuljournals.com/article_164069_d79359c0171db5c0e624fa27ec020ef9.pdf
work_keys_str_mv AT saadmanaa stabilityanalysisforsteadystatesolutionsofhuxleyequation
AT mohammadsabawi stabilityanalysisforsteadystatesolutionsofhuxleyequation