Using predictor-corrector methods for numerical solution of system of non-linear volterra integral equations of second kind
Joint Authors
Juma, Burhan Fakhr al-Din
Taqi, Abbas Hasan
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 6, Issue 3 (31 Dec. 2009), pp.93-109, 17 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2009-12-31
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract AR
الهدف من هذا البحث، هو حل منظومة معادلات فولتيرا التكامليةغير الخطية من النوع الثاني عدديا مستخدما طرائق التكهن-المصحح، حيث تم استخدام طريقتين من طرق متعددة الخطوات (طريقة أدم- باشفورث و طريقة أدم- مولتن).
تم مناقشة التقارب و الاستقرارية لمثالين و بالاعتماد على أخطاء التربيعيات الصغرى، استخدمت برنامج (matlab version 7.0) لكتابة البرنامج الخاصة بهذه الطريقة.
Abstract EN
The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (NSVIEK2) numerically using Predictor-Corrector methods (P-CM).
Two multistep methods (Adams-Bashforth, Adams-Moulton).
Convergence and stability of the methods are proved and some examples are presented to illustrate the methods.
Programs are written in matlab program version 7.
0.
American Psychological Association (APA)
Juma, Burhan Fakhr al-Din& Taqi, Abbas Hasan. 2009. Using predictor-corrector methods for numerical solution of system of non-linear volterra integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 6, no. 3, pp.93-109.
https://search.emarefa.net/detail/BIM-331928
Modern Language Association (MLA)
Juma, Burhan Fakhr al-Din& Taqi, Abbas Hasan. Using predictor-corrector methods for numerical solution of system of non-linear volterra integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 6, no. 3 (2009), pp.93-109.
https://search.emarefa.net/detail/BIM-331928
American Medical Association (AMA)
Juma, Burhan Fakhr al-Din& Taqi, Abbas Hasan. Using predictor-corrector methods for numerical solution of system of non-linear volterra integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics. 2009. Vol. 6, no. 3, pp.93-109.
https://search.emarefa.net/detail/BIM-331928
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 108-109
Record ID
BIM-331928
