Abstract
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.
Keywords
Feed Forward neural network, Levenberg – Marquardt (trainlm) training algorithm, Mixed Volterra - Fredholm integral equations
Article Type
Article
How to Cite this Article
S. M. Al-Saif, Nahdh and Sh. Ameen, Ameen
(2019)
"Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network,"
Baghdad Science Journal: Vol. 16:
Iss.
1, Article 14.
DOI: https://doi.org/10.21123/bsj.2019.16.1.0116
