Solving mixed volterra-fredholm integral equation (MVFIE)‎ by designing neural network

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.