2025, Vol. 6, Issue 1, Part B
Numerical solution and stability analysis of the generalised Huxley equation using finite difference methods
Author(s): Zubaida J Mohsen and Mohammad A Sabawi
Abstract: The numerical solution of the generalised Huxley equation using explicit and Crank-Nicholson finite difference schemes is obtained. Also, the stability analysis of the numerical solution of the generalised Huxley equation using both schemes is investigated. The Fourier mode (von Neumann) method is used for stability analysis for the explicit and Crank-Nicholson schemes. The concluded results are the explicit scheme is conditionally stable if
where 
and Crank-Nicholson scheme is unconditionally stable. The numerical results are presented through a number of numerical examples which showed that the Crank-Nicholson scheme is faster and more accurate than the explicit scheme.Pages: 124-132 | Views: 96 | Downloads: 26
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How to cite this article:
Zubaida J Mohsen and Mohammad A Sabawi. Numerical solution and stability analysis of the generalised Huxley equation using finite difference methods. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(1): 124-132.
