A NUMERICAL SOLUTION FOR AN INITIAL VALUE PROBLEM FOR ODE USING ARTIFICIAL NEURAL NETWORK
Journal Title: Journal of Science And Arts - Year 2009, Vol 11, Issue 2
Abstract
Artificial Neural Network (ANN) proved to be good tools for functions approximation Starting from this idea the article present a method for the approximating the solution of an initial value problem for ordinary differential equation (ODE) using ANN. The performance function associated to the neural network is built in such a way that the training process to produce at the output of the network a function that satisfies the differential equation on the training set and also the initial condition.
Authors and Affiliations
Emil Lungu
Keywords
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