GP-stability of linear multistep methods for delay retarded differential equations with several delays
Joint Authors
al-Bayati, Abbas Y.
al-Sawur, Ann J.
Naum, Riyad S.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 8, Issue 2 (31 Dec. 2011), pp.21-33, 13 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2011-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Topics
Abstract AR
يطور هذا البحث الحل العددي لمسائل القيم الابتدائية للمعادلات التفاضلية ذات التأخير الزمني و ذلك من خلال تناولها لمعادلات تفاضلية ذات تأخير زمني من النوع المعوق (RDEs) و بتأخير زمني متعدد ذات الصيغة : y' (t) = f (t, y (t), y (t -τ_1), y (t - τ_2), …, y (t-τ_μ)) t > 0 y (t) = ϕ (t) t < 0 حيث أن τ_1, τ_2, …, τ_μ هي ثوابت موجبة, ϕ و f تمثل دوال ذات قيمة اتجاهية.
يهتم هذا البحث بدراسة سلوك الاستقرارية لطرق المتعددة الخطوات الخطية لمسائل (RDEs).
فلقد تم استنتاج أن طرق المتعددة الخطوات هي مستقرة GP- إذا كانت مستقرة A- للمعادلات التفاضلية الاعتيادية.
Abstract EN
This paper modifies the numerical solution of initial value problems of the Delay Differential Equations (DDEs) by making it deals with Retarded Differential Equations (RDEs) with several delays Y (t) = f (t, y (t), y (t - τ1) ( t- τ2),…,y (t- τu)), t>0 y (t)= ∅ (t), t<0 where τ1,τ2,…,τu are positive constants, ∅ and f denote given vector-valued functions.
The stability behaviors of linear multistep method for RDEs is studied and it is proved that the linear multistep method is GP-stable if it is A-stable for Ordinary Differential Equations (ODEs).
American Psychological Association (APA)
al-Bayati, Abbas Y.& al-Sawur, Ann J.& Naum, Riyad S.. 2011. GP-stability of linear multistep methods for delay retarded differential equations with several delays. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 8, no. 2, pp.21-33.
https://search.emarefa.net/detail/BIM-322136
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. GP-stability of linear multistep methods for delay retarded differential equations with several delays. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 8, no. 2 (2011), pp.21-33.
https://search.emarefa.net/detail/BIM-322136
American Medical Association (AMA)
al-Bayati, Abbas Y.& al-Sawur, Ann J.& Naum, Riyad S.. GP-stability of linear multistep methods for delay retarded differential equations with several delays. al- Rafidain Journal of Computer Sciences and Mathematics. 2011. Vol. 8, no. 2, pp.21-33.
https://search.emarefa.net/detail/BIM-322136
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 33
Record ID
BIM-322136