An artificial neural networks method for solving partial differential equations

AIP Conference Proceedings

Volumn 1281, Issue , 2010, Pages 1425-1428

  Alharbi, Abir ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Artificial Neural Networks; Energy Function; Partial Differential Equations; Finite Difference Method; Hopfield Neural Networks

Indexed keywords

EID: 79954557617     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3498013     Document Type: Conference Paper

References (7)

1. Hopfield, J.J. and Tank D.W. " Computing with Neural circuits", Science, 1986, (8), 652-633.
2. Hopfield, J.J. "Neural Networks and physical systems with emergent collective computational abilities", National Academy of Science USA, (79), 1982, 2554-2558.
3. Tank D.W. and Hopfield, J.J, "Collective computation in Neuron like circuits", Scientific American, 1987., 257, no.6, 104-114.
4. Takafuji, Y., Neural network Parallel computing,(Boston: Kluwer Academic Publishers ,1992.
5. Abir Alharbi , "A Neurocomputing Approach to solving Partial Differential Equations", PhD thesis, Florida Institute of Technology, Melbourne, Florida, USA, 1997.
6. Abir Alharbi, "A Recurrent net solution to the diffusion equation in the ECS of the brain", Artificial Intelligence and Pattern Recognition Conference, AIPR Conference Proceeding , Orlando, USA, July 13-16, 2009, pp.113-118.
7. Abir Alharbi, E. Alahmadi, "A Neural Network method for the unsteady flow past a circular cylinder" , Far East Journal of Applied Mathematics, 2008, vol. 30, number 2, pp.245-264.