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I. E. Largris and A. Likas, “Artificial Neural Networks for Solving Ordinary and Partial Differential Equations,” IEEE transaction on neural networks, Vol. 9, No. 5, 1998, pp. 987-1000.

has been cited by the following article:

• TITLE: Artificial Neural Networks Approach for Solving Stokes Problem

  AUTHORS: Modjtaba Baymani, Asghar Kerayechian, Sohrab Effati

  KEYWORDS: Artificial Neural Networks, Stokes Problem, Poisson Equation, Partial Differential Equations

  JOURNAL NAME: Applied Mathematics, Vol.1 No.4, October 29, 2010

  ABSTRACT: In this paper a new method based on neural network has been developed for obtaining the solution of the Stokes problem. We transform the mixed Stokes problem into three independent Poisson problems which by solving them the solution of the Stokes problem is obtained. The results obtained by this method, has been compared with the existing numerical method and with the exact solution of the problem. It can be observed that the current new approximation has higher accuracy. The number of model parameters required is less than conventional methods. The proposed new method is illustrated by an example.