Romberg algorithm to solve a system of nonlinear fredholm integral equations of second kind
Joint Authors
al-Bayati, Abbas Y.
Said, Rustum K.
Aziz, Kawa M.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 9, Issue 2 (31 Aug. 2012), pp.41-52, 12 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2012-08-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Abstract AR
في هذا البحث استخدمنا خوارزمية رومبيرك المعروفة لحل منظومة من معادلات فريدهولم التكاملية اللاخطية من النوع الثاني و قد تم الحصول على نتائج جيدة باستخدام الحل المطلوب و تمت المقارنة باستخدام أربعة مسائل عددية و بالاعتماد على الزمن المضبوط المستغرق للحاسبة (CPU time) مع استخدام خاصية مربع أقل خطأ (Least-square error).
تم كتابة برنامج حاسوبي باستخدام الــــــ 7.0 Mat lab و للأبعاد 2 * 2 و 3 * 3 و على حاسبة شخصية P4.
Abstract EN
In this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind.
A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running computer time.
Our numerical results are obtained by MATLAB 7.0 program and for a system of rank 2 × 2, 3 × 3 on Personal Computer P4.
American Psychological Association (APA)
al-Bayati, Abbas Y.& Said, Rustum K.& Aziz, Kawa M.. 2012. Romberg algorithm to solve a system of nonlinear fredholm integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 9, no. 2, pp.41-52.
https://search.emarefa.net/detail/BIM-321891
Modern Language Association (MLA)
Aziz, Kawa M.…[et al.]. Romberg algorithm to solve a system of nonlinear fredholm integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 9, no. 2 (2012), pp.41-52.
https://search.emarefa.net/detail/BIM-321891
American Medical Association (AMA)
al-Bayati, Abbas Y.& Said, Rustum K.& Aziz, Kawa M.. Romberg algorithm to solve a system of nonlinear fredholm integral equations of second kind. al- Rafidain Journal of Computer Sciences and Mathematics. 2012. Vol. 9, no. 2, pp.41-52.
https://search.emarefa.net/detail/BIM-321891
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 49-52
Record ID
BIM-321891
