The method of iteration reduction for matter gradient concentration calculation is developed. The method is applied for numerical solution of diffusion equation with depending on time source. The time of numerical analysis is decreased on 13-26 % by taking into account the suggested approach.
уравнение диффузии, оптимизация вычислений, нейронные сети, diffusion equation, numerical optimization, neural networks
1. T.N. Grishaeva, A.N Masliy, Vestnik Kazan. tehnol. un-ta, 15, 12, 7-11 (2012).
2. A.N. Masliy, E.I. Madirov, Vestnik Kazan. tehnol. un-ta, 16, 23, 12-18 (2013).
3. D.B. Chklovskii, B.W. Mel, K. Svoboda, Nature, 14, 431, 782-788 (2004).
4. R. Keynes, G.M.W. Cook, Cell, 83, 2, 161-169 (1995).
5. B.J. Dickson, Science, 298, 5600, 1959-1964 (2002).
6. M. Tessier-Lavigne, C.S. Goodman, Science, 274, 5290, 1123-1133 (1996).
7. G. Szebenyi, J.L. Callaway, E.W. Dent, K. Kalil, J Neurosci., 18, 19, 7930-7940 (1998).
8. E.W. Dent, J.L. Callaway, G. Szebenyi, J Neurosci., 19, 20, 8894-8908 (1999).
9. K. Kalil, G. Szebenyi, E.W. Dent, J Neurobiol., 44, 2, 145-158 (2000).
10. E.W. Dent, F. Tang, K. Kalil, Neuroscientist., 9, 5, 343-353, (2003).
11. A. Balkowiec, D.M. Katz, J Neurosci., 20, 19, 7417-7423 (2000).
12. J. Henley, M.M. Poo, Trends Cell Biol., 14, 6, 320-330 (2004).
13. F. Gafarov, N. Khusnutdinov, F. Galimyanov, J Integr Neurosci., 8, 1, 35-48 (2009).
14. Ya. A. Suleymanov, Vestnik TGGPU, 25, 3, 37-41 (2011).
15. Y. Suleymanov, F. Gafarov, N. Khusnutdinov, J Integr Neurosci., 12, 1, 103-116 (2013).
16. G. J. Goodhill, Eur J Neurosci., 9, 7, 1414-1421 (1997).
17. W.J. Rosoff, J.S. Urbach, M.A. Esrick, Nat Neurosci., 7, 6, 678-682 (2004).
18. R. W. Gundersen, J.N. Barrett, J Cell Biol., 87, 3, 546-554 (1980).
