Approximate solutions for mixed nonlinear volterra-fredholm type integral equations via modified block-pulse functions
Other Title(s)
الحلول التقريبية للمعادلات من نوع فولترا و فريدهولم باستخدام حزمه محسنه من الدوال
Joint Authors
Mirzay, Farshid
Hadadiyan, Ilham
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 12, Issue 0 (31 Oct. 2012), pp.65-73, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2012-10-31
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Abstract AR
في هذا البحث لقد تم دراسة بعض حلول معادلات من نوع فولترا و فريدهولوم غير الخطية من النوع الأول.
باستخدام مجموعة من المعادلات ثنائية البعد و تأثيراتها التكاملية، فإن معادلات فولترا و فريدهولوم غير الخطية من النوع الأول يمكن أن تتحول إلى معادلات خطية.
كما تمت دراسة بعض الأمثلة التي تبين التقارب و التباعد لهذه الطريقة، و من خلالها تبين أن الطريقة العددية لها بعض المميزات بدرجة عالية من الدقة.
Abstract EN
In this article a robust approach for solving mixed nonlinear Volterra–Fredholm type integral equations of the first kind is investigated.
By using the modified two-dimensional blockpulse functions (M2D-BFs) and their operational matrix of integration, first kind mixed nonlinear Volterra–Fredholm type integral equations can by reduced to a nonlinear system of equations.
The coefficients matrix of this system is a block matrix with lower triangular blocks.
Some theorems are included to show the convergence and advantage of this method.
Numerical results show that the approximate solutions have a good degree of accuracy.
American Psychological Association (APA)
Mirzay, Farshid& Hadadiyan, Ilham. 2012. Approximate solutions for mixed nonlinear volterra-fredholm type integral equations via modified block-pulse functions. Arab Journal of Basic and Applied Sciences،Vol. 12, no. 0, pp.65-73.
https://search.emarefa.net/detail/BIM-308798
Modern Language Association (MLA)
Mirzay, Farshid& Hadadiyan, Ilham. Approximate solutions for mixed nonlinear volterra-fredholm type integral equations via modified block-pulse functions. Arab Journal of Basic and Applied Sciences Vol. 12 (Oct. 2012), pp.65-73.
https://search.emarefa.net/detail/BIM-308798
American Medical Association (AMA)
Mirzay, Farshid& Hadadiyan, Ilham. Approximate solutions for mixed nonlinear volterra-fredholm type integral equations via modified block-pulse functions. Arab Journal of Basic and Applied Sciences. 2012. Vol. 12, no. 0, pp.65-73.
https://search.emarefa.net/detail/BIM-308798
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 72-73
Record ID
BIM-308798