The order of accuracy for SOR waveform-relaxatio method for Solving ODEs

Author

Sawoor, Ann J. H.

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

Mathematics

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