![](/images/graphics-bg.png)
Explicit-implicit runge-kutta methods to solve the system of nonlinear PPDEs in two dimensions
Joint Authors
Manna, Sad Abd Allah
al-Bayati, Abbas Y.
al-Ruzbayani, Abd al-Ghafur M.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 9, Issue 1 (30 Apr. 2012), pp.13-21, 9 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2012-04-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
في هذا البحث تم إيجاد الحلول العددية لنموذج Gray-Scott في فضاء البعد الثاني، هذا النموذج هو نظام من المعادلات التفاضلية الجزئية من نوع القطع المكافئ الغير خطي حيث تم تحويل النموذج الأصلي إلى نظم من المعادلات التفاضلية الاعتيادية باستخدام شبه التقطيعات (MOLs).
ثم استعملنا طرائق رانج-كوتا (طريقة رانج-كوتا الصريحة و طريقة رانج-كوتا الضمنية) لإيجاد الحلول العددية للنظم الجديدة و قارنا بين الطريقتين.
لاحظنا أن النتائج العديدة للطريقة الضمنية هي أكثر دقة من النتائج العدددية للطريقة الصحيحة.
Abstract EN
In this paper, we will find the numerical solution of Gray-Scott model in two dimensions space, this method is a system of non-linear parabolic partial differential equations.
Then transforming the original model (system of non-linear PPDEs), by using the method of lines to a system of ODEs.
Therefore we used Runge-Kutta methods (Explicit RK method and Implicit RK method) to find the numerical solutions of the new systems, and we compared between these methods, we saw that the numerical results of IRK methods is more accurate than the numerical results of ERK method.
American Psychological Association (APA)
al-Bayati, Abbas Y.& Manna, Sad Abd Allah& al-Ruzbayani, Abd al-Ghafur M.. 2012. Explicit-implicit runge-kutta methods to solve the system of nonlinear PPDEs in two dimensions. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 9, no. 1, pp.13-21.
https://search.emarefa.net/detail/BIM-321936
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. Explicit-implicit runge-kutta methods to solve the system of nonlinear PPDEs in two dimensions. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 9, no. 1 (2012), pp.13-21.
https://search.emarefa.net/detail/BIM-321936
American Medical Association (AMA)
al-Bayati, Abbas Y.& Manna, Sad Abd Allah& al-Ruzbayani, Abd al-Ghafur M.. Explicit-implicit runge-kutta methods to solve the system of nonlinear PPDEs in two dimensions. al- Rafidain Journal of Computer Sciences and Mathematics. 2012. Vol. 9, no. 1, pp.13-21.
https://search.emarefa.net/detail/BIM-321936
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 21
Record ID
BIM-321936