Open AccessNumerical Solution and Stability Analysis of Huxley Equation
Author(s) -
Saad Manaa,
Mohammad Sabawi
Publication year - 2005
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2005.164070
Subject(s) - von neumann stability analysis , scheme (mathematics) , mathematics , stability (learning theory) , convergence (economics) , crank , numerical analysis , fourier analysis , von neumann architecture , crank–nicolson method , fourier transform , mathematical analysis , numerical stability , computer science , geometry , machine learning , cylinder , pure mathematics , economics , economic growth
The numerical solution of Huxley equation by the use of two finite difference methods is done. The first one is the explicit scheme and the second one is the Crank-Nicholson scheme. The comparison between the two methods showed that the explicit scheme is easier and has faster convergence while the Crank-Nicholson scheme is more accurate. In addition, the stability analysis using Fourier (von Neumann) method of two schemes is investigated. The resulting analysis showed that the first scheme
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