The order of accuracy for SOR waveform-relaxatio method for Solving ODEs
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 1, Issue 1 (30 Jun. 2004), pp.136-144, 9 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2004-06-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
في هذا البحث سوف نناقش و نبين رتبة الدقة للأنظمة الجزئية للمعادلات التفاضلية الاعتيادية الناتجة من عملية تجزئة طريقة (SQR) و سوف نبين أن صيغة المعادلة للحل بعد تطبيق صيغ تذبذبية مسترخية تكون بالشكل الآتي : Xi [k+1] (0) = xi,o t ϵ [0, T] , 1 ≤ I ≤ m حيث ω تمثل معلمة للاسترخاء و التي يجب أن تختار بحيث أن نسبة التقارب عند هذه القيمة للمعلمة تكون في أعظمها.
Abstract EN
In this paper we will discuss and find the order of accuracy for subsystems of ODE that obtained from partitioning the successive Over relaxation(SOR) method and we will show that the form of equation to be solved after applying the waveform relaxation scheme is : x + + + - + + + & w w w w w w x x t i m i k i + = Î[0,T] , 1£ £ 0 , [ 1](0) Where ω ,the relaxation parameter ,should be chosen so that the rate of convergence is maximized .
American Psychological Association (APA)
Sawoor, Ann J. H.. 2004. The order of accuracy for SOR waveform-relaxatio method for Solving ODEs. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 1, no. 1, pp.136-144.
https://search.emarefa.net/detail/BIM-361223
Modern Language Association (MLA)
Sawoor, Ann J. H.. The order of accuracy for SOR waveform-relaxatio method for Solving ODEs. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 1, no. 2 (2004), pp.136-144.
https://search.emarefa.net/detail/BIM-361223
American Medical Association (AMA)
Sawoor, Ann J. H.. The order of accuracy for SOR waveform-relaxatio method for Solving ODEs. al- Rafidain Journal of Computer Sciences and Mathematics. 2004. Vol. 1, no. 1, pp.136-144.
https://search.emarefa.net/detail/BIM-361223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 144
Record ID
BIM-361223