Solving mixed volterra-fredholm integral equation (MVFIE) by designing neural network
Other Title(s)
حل معادلة فولتيرا-فريدهولم التكاملية المختلطة باستخدام الشبكات العصبية
Joint Authors
al-Sayf, Nahid Salim Muhammad Said
Amin, Amin Shaman
Source
Issue
Vol. 16, Issue 1 (31 Mar. 2019), pp.116-120, 5 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2019-03-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
- Problem solving
- Mathematical models
- Integral equations
- Neural networks(Computer science)
- Volterra equations
Abstract EN
In this paper, we focus on designing feed forward neural network (FFNN) for solving mixed volterra-fredholm integral equations (MVFIEs) of second kind in 2–dimensions.
in our method, we present a multi-layers model consisting of a hidden layer which has five hidden units (neurons) and one linear output unit.
transfer function (Log-sigmoid) and training algorithm (Levenberg-Marquardt) are used as a sigmoid activation of each unit.
a comparison between the results of numerical experiment and the analytic solution of some examples has been carried out in order to justify the efficiency and the accuracy of our method.
American Psychological Association (APA)
al-Sayf, Nahid Salim Muhammad Said& Amin, Amin Shaman. 2019. Solving mixed volterra-fredholm integral equation (MVFIE) by designing neural network. Baghdad Science Journal،Vol. 16, no. 1, pp.116-120.
https://search.emarefa.net/detail/BIM-876207
Modern Language Association (MLA)
al-Sayf, Nahid Salim Muhammad Said& Amin, Amin Shaman. Solving mixed volterra-fredholm integral equation (MVFIE) by designing neural network. Baghdad Science Journal Vol. 16, no. 1 (2019), pp.116-120.
https://search.emarefa.net/detail/BIM-876207
American Medical Association (AMA)
al-Sayf, Nahid Salim Muhammad Said& Amin, Amin Shaman. Solving mixed volterra-fredholm integral equation (MVFIE) by designing neural network. Baghdad Science Journal. 2019. Vol. 16, no. 1, pp.116-120.
https://search.emarefa.net/detail/BIM-876207
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 119-120
Record ID
BIM-876207