Artificial Neural Networks Approach for Solving Stokes Problem
Modjtaba Baymani, Asghar Kerayechian, Sohrab Effati
DOI: 10.4236/am.2010.14037   PDF   HTML     5,852 Downloads   10,978 Views   Citations


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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