GP-stability of linear multistep methods for delay retarded differential equations with several delays
Other Title(s)
استقرارية GP- للطرق الخطية متعددة الخطوات لمعادلات تفاضلية ذات تأخير زمني متعدد
Joint Authors
al-Bayati, Abbas Y.
al-Sawoor, Ann J.
Naum, Riyad Shakir
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 22, Issue 2 (31 Aug. 2007), pp.37-52, 16 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2007-08-31
Country of Publication
Jordan
No. of Pages
16
Main Subjects
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 : y̍ (t) = f (t, y (t), y (t-τ_1), y (t - τ_2), …, y (t - τ_4)) t > 0 y (t)= ϕ (t) t <0 حيث أن t1, T2, …, t4 هي ثوابت موجبة و ϕ & f تمثل دوال ذات قيمة اتجاهية.
يهتم هذا البحث بدراسة سلوك الاستقرارية للطرق الخطية المتعددة الخطوات لمسائل (RDEs).
فلقد تم استنتاج أن الطرق 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 to deal with Retarded Differential Equations (RDEs) with several delays Y (t) = f {t, y {f), y {t-τ1), y {t-τ2) ..., y {t-τμ) T <00 Y (t) = ∅ (T) T < 0 Where τ1, τ2..., τμare positive constants, f & φ denote given vector valued functions.
The stability behaviors of linear multistep method for RDEs fare 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-Sawoor, Ann J.& Naum, Riyad Shakir. 2007. GP-stability of linear multistep methods for delay retarded differential equations with several delays. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 22, no. 2, pp.37-52.
https://search.emarefa.net/detail/BIM-285120
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. GP-stability of linear multistep methods for delay retarded differential equations with several delays. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 22, no. 2 (2007), pp.37-52.
https://search.emarefa.net/detail/BIM-285120
American Medical Association (AMA)
al-Bayati, Abbas Y.& al-Sawoor, Ann J.& Naum, Riyad Shakir. GP-stability of linear multistep methods for delay retarded differential equations with several delays. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2007. Vol. 22, no. 2, pp.37-52.
https://search.emarefa.net/detail/BIM-285120
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 52
Record ID
BIM-285120
