Numerical solution and stability analysis for burger's-Huxley equation
Joint Authors
Manna, Sad Abd Allah
Salim, Farhad M.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 6, Issue 2 (31 Aug. 2009), pp.61-75, 15 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2009-08-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract AR
لقد تم حل معادلة Burger's-Huxley عدديا باستخدام طريقتين من طرائق الفروقات المنتهية، الاولى هي الطريقة الصحيحة (Explicit scheme) و الثانية هي طريقة (Crank-Nicholson) إذ تم عمل مقارنة بين نتائج كلتا الطريقتين، و قد تبين أن الطريقة الأولى هي الأسهل في حين كانت الطريقة الثانية أدق و أرع تقاربا.
لقد تمت كذلك دراسة الإستقرارية العددية للطريقتين المستخدمتين في حل معادلة Burger's-Huxley باستخدام طريقة (von-Neumann) Fourier، إذ تبين أن الطريقة الأولى مستقرة تحت الشرط (∆t ≤ 2(∆x)2 / 4v + δß (∆x)2) بينما الطريقة الثانية مستقرة من دون الشروط.
Abstract EN
The Burger’s-Huxley equation has been solved numerically by using two finite difference methods, the explicit scheme and the Crank-Nicholson scheme.
A comparison between the two schemes has been made and it has been found that, the first scheme is simpler while the second scheme is more accurate and has faster convergent.
Also, the stability analysis of the two methods by using Fourier (Von Neumann) method has been done and the results were that, the explicit scheme is stable under the condition and the Crank-Nicholson is unconditionally stable.
American Psychological Association (APA)
Manna, Sad Abd Allah& Salim, Farhad M.. 2009. Numerical solution and stability analysis for burger's-Huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 6, no. 2, pp.61-75.
https://search.emarefa.net/detail/BIM-332083
Modern Language Association (MLA)
Manna, Sad Abd Allah& Salim, Farhad M.. Numerical solution and stability analysis for burger's-Huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 6, no. 2 (2009), pp.61-75.
https://search.emarefa.net/detail/BIM-332083
American Medical Association (AMA)
Manna, Sad Abd Allah& Salim, Farhad M.. Numerical solution and stability analysis for burger's-Huxley equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2009. Vol. 6, no. 2, pp.61-75.
https://search.emarefa.net/detail/BIM-332083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 75
Record ID
BIM-332083
