Comparative study of multigrid methods and neural network methods for boundary value problems with irregular boundaries

Faculty Science Year: 2010
Type of Publication: Article Pages: 1-14
Authors:
Hoda, S. A
Journal: KUWAIT JOURNAL OF SCIENCE \& ENGINEERING ACADEMIC PUBLICATION COUNCIL Volume: 37
Research Area: Science \& Technology - Other Topics ISSN ISI:000280694200001
Keywords : Boundary value problems, irregular boundaries, neural networks, multi-grid methods, partial differential equations    
Abstract:
In this paper multigrid methods and neural network methods were used to solve the partial differential equations (PDEs) with boundary conditions (Dirichlet or Neumann) defined on boundaries with simple geometry have been successfully treated on two-dimensional and three-dimensional PDEs. According to the results, multigrid method seems to have certain advantages both in efficiency and in, interpolation accuracy.
    
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