Numerical solution of non-linear prey-predator system using finite elements methodelements method
Joint Authors
Qasim, Ahmad F.
Manna, Sad Abd Allah
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 4, Issue 2 (13 Dec. 2007), pp.113-133, 21 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2007-12-13
Country of Publication
Iraq
No. of Pages
21
Main Subjects
Topics
Abstract AR
تم حل نظام لاخطي من علم المجتمعات الإحيائية هو نظام prey-predator عدديا باستخدام طريقة Galerkin العددية ثم قورنت النتائج مع نتائج الباحث [6] Pius Peter Nyaangaو الذي استخدم طريقة الفروقات المنتهية في حل النظام و قد تبين أن طريقة Galerkin أسرع في الوصول إلى حالة التوازن و هي الحالة التي تكون فيها كثافة u(x,t) و v(x,t)متساوية لكل قيم x و t، كما أن طريقة Galerkin أكثر دقة و أسرع من طريقة الفروقات المنتهية في الوصول إلى steady state solutions و بخطوات زمنية اقل.
Abstract EN
A non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite difference method to reach equilibrium state where the density for the prey u(x, t) and the predator v(x, t) are equals for all the values for xand t, also we found that Galerkin method converges towards the steady state solutions faster than finite difference method with less steps in time.
American Psychological Association (APA)
Manna, Sad Abd Allah& Qasim, Ahmad F.. 2007. Numerical solution of non-linear prey-predator system using finite elements methodelements method. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 4, no. 2, pp.113-133.
https://search.emarefa.net/detail/BIM-340502
Modern Language Association (MLA)
Manna, Sad Abd Allah& Qasim, Ahmad F.. Numerical solution of non-linear prey-predator system using finite elements methodelements method. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 4, no. 2 (2007), pp.113-133.
https://search.emarefa.net/detail/BIM-340502
American Medical Association (AMA)
Manna, Sad Abd Allah& Qasim, Ahmad F.. Numerical solution of non-linear prey-predator system using finite elements methodelements method. al- Rafidain Journal of Computer Sciences and Mathematics. 2007. Vol. 4, no. 2, pp.113-133.
https://search.emarefa.net/detail/BIM-340502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 133
Record ID
BIM-340502