Author(s)

Modjtaba Baymani, Asghar Kerayechian, Sohrab Effati

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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.

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

M. Baymani, A. Kerayechian and S. Effati, "Artificial Neural Networks Approach for Solving Stokes Problem," Applied Mathematics, Vol. 1 No. 4, 2010, pp. 288-292. doi: 10.4236/am.2010.14037.