Stability analysis for steady state solutions of huxley equation

Abstract AR

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 0 1 u = and 1 1 u = are always stable while the solutions u = a 1 and u u (X) 1 1 = 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.