Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network

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Al-Saif et al.

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.


                                 

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How to Cite
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et al. A-S. Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network. BSJ [Internet]. 11Mar.2019 [cited 20May2019];16(1):0116. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3187
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