Numerical Solution and Stability Analysis of Huxley Equation

Al-Rafidain Journal of Computer Sciences and Mathematics

Mohammad Sabawi¹  Saad Manaa² 

[1] Mathematics University of Mosul, Iraq;;College of Computers Sciences &

关键词: finite difference methods;    explicit scheme;    crank-nicholson;    huxley equation;    stability analysis;   

DOI  :  10.33899/csmj.2005.164070

来源: DOAJ

【 摘 要 】

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 is conditionally stable if  and the second scheme is unconditionally stable.

【 授权许可】

Unknown