Numerical solution of quadratic Riccati differential equation by neural network

In this paper, a novel hybrid method based on neural network is proposed to solve quadratic differential equation. Here neural network is considered as a part of large field called neural computing or soft computing. The model finds the approximated solution of Riccati differential equation inside its domain for the close enough neighborhood of the initial point. This method, in comparison with existing numerical methods, shows that the use of neural networks provides solutions with good generalization and high accuracy.