Stability study of stationary solutions of the viscous burgers equation
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 4, Issue 1 (30 Jun. 2007), pp.19-40, 22 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2007-06-30
Country of Publication
Iraq
No. of Pages
22
Main Subjects
Topics
Abstract AR
تمت دراسة استقرارية الحلول اللازمنية لمعادلة Burgers اللزجة باستخدام تحليل الأستقرارية من النمط Fourier للحلول اللازمنية D = u1 إذ D ثابت و u1 = u1 (x), 0 ≤ x ≤ 1 في حالتين : الأولى في حالة كون السعة الموجية A ثابتة و الثانية في حالة كون السعة الموجبة A متغيرة و إن النتائج التي تم الحصول عليها في حالة السعة الثابتة هي : الحل اللازمني u1 = D هو دوما مستقر في حين أن الحل u1 = u1 (x) مستقر على نحو مشروط.
و إن النتائج التي تم الحصول عليها في حالة السعة المتغيرة هما الحلان اللازمنيان u1 = u1 (x), 0 ≤ x ≤ 1 و u1 = D و هما مستقران على نحو مشروط.
Abstract EN
Stability study of stationary solutions of the viscous Burgers equation using Fourier mode stability analysis for the stationary solutions u = D 1, where D is constant and 0 1 1 1 u = u x £ x £, in two cases is analyzed.
Firstly when the wave amplitude A is constant and secondly when the wave amplitude A is variable.
In the case of constant amplitude, the results found to be : the solution u = D 1 is always stable while the solution u (x) 1 1 = is conditionally stable.
In the case of variable amplitude, it has been found that the solutions u = D 1 and 0 1 1 1 u = u x £ x £ are conditionally stable.
American Psychological Association (APA)
Muhaymid, Muhammad A.. 2007. Stability study of stationary solutions of the viscous burgers equation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 4, no. 1, pp.19-40.
https://search.emarefa.net/detail/BIM-340670
Modern Language Association (MLA)
Muhaymid, Muhammad A.. Stability study of stationary solutions of the viscous burgers equation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 4, no. 1 (2007), pp.19-40.
https://search.emarefa.net/detail/BIM-340670
American Medical Association (AMA)
Muhaymid, Muhammad A.. Stability study of stationary solutions of the viscous burgers equation. al- Rafidain Journal of Computer Sciences and Mathematics. 2007. Vol. 4, no. 1, pp.19-40.
https://search.emarefa.net/detail/BIM-340670
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 38-40
Record ID
BIM-340670
