A Feed-Forward Neural Network for Solving Stokes Problem

被引：0
作者：
M. Baymani
S. Effati
A. Kerayechian
机构：
[1] Quchan Institute of Engineering and Technology,Department of Mathematics
[2] Ferdowsi University of Mashhad,Department of Applied Mathematics
来源：
Acta Applicandae Mathematicae | 2011年 / 116卷
关键词：
Artificial neural networks; Stokes problem; Poisson equation; Partial differential equations;
D O I：
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学科分类号：
摘要：
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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