A Feed-Forward Neural Network for Solving Stokes Problem |
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Authors: | M Baymani S Effati A Kerayechian |
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Institution: | 1.Department of Mathematics,Quchan Institute of Engineering and Technology,Quchan,Iran;2.Department of Applied Mathematics,Ferdowsi University of Mashhad,Mashhad,Iran |
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Abstract: | The current research attempts to offer a novel method for solving the Stokes problem based on the use of feed-forward neural
networks. 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 two examples. |
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