TITLE:
Artificial Neural Networks Approach for Solving Stokes Problem
AUTHORS:
Modjtaba Baymani, Asghar Kerayechian, Sohrab Effati
KEYWORDS:
Artificial Neural Networks, Stokes Problem, Poisson Equation, Partial Differential Equations
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.4,
October
29,
2010
ABSTRACT: 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.