A Feed-Forward Neural Network for Solving Stokes Problem

作者：Baymani M^*; Effati S; Kerayechian A

来源：Acta Applicandae Mathematicae, 2011, 116(1): 55-64.

DOI：10.1007/s10440-011-9627-5

• Artificial neural networks
• Stokes problem
• Poisson equation
• Partial differential equations

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.

• 出版日期2011-10