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Title

Numerical solutions of distributed diffusion Hopfield neural network equations
Authors

Quan-Fang Wang
S Nakagiri
Journal / Anthology

APPLIED MATHEMATICS AND COMPUTATION
Year: 2006
Volume: 174
Issue: 2
Page range: 1343-1362
Description

A finite element method for numerical solutions of the systems governed by distributed models of Hopfield-type neural network equations is studied. When time keeps continuous and the spatial dimension is one, a semi-discrete algorithm for numerical Solutions using quadratic interpolation functions is constructed, in which the Gauss-Legendre quadrature of numerical integrations of nonlinear term and Runge-Kutta method for solving ordinary differential equation are efficiently used. Finally, numerical simulations results obtained by Mathematica to show the scheme is stable.
Subjects

*Applied Mathematics > Computer Science
*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Hopfield-type neural network equations, numerical solutions, finite element method, Gauss-Legendre quadrature, Runge-Kutta method