Numerical solution and stability analysis of huxley equation
Joint Authors
Manna, Sad Abd Allah
Muhammad, A. Muhammad
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 2, Issue 1 (30 Jun. 2005), pp.85-97, 13 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2005-06-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
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, ( ) ( )2 2 4 , 2 4 2 a x r a t t x - D D D £ - D £ b b and the second scheme is unconditionally stable.
Abstract EN
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, ( ) ( )2 2 4 , 2 4 2 a x r a t t x - D D D £ - D £ b b and the second scheme is unconditionally stable.
American Psychological Association (APA)
Manna, Sad Abd Allah& Muhammad, A. Muhammad. 2005. Numerical solution and stability analysis of huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 2, no. 1, pp.85-97.
https://search.emarefa.net/detail/BIM-361597
Modern Language Association (MLA)
Manna, Sad Abd Allah& Muhammad, A. Muhammad. Numerical solution and stability analysis of huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 2, no. 1 (2005), pp.85-97.
https://search.emarefa.net/detail/BIM-361597
American Medical Association (AMA)
Manna, Sad Abd Allah& Muhammad, A. Muhammad. Numerical solution and stability analysis of huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2005. Vol. 2, no. 1, pp.85-97.
https://search.emarefa.net/detail/BIM-361597
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 96-97
Record ID
BIM-361597
