Rational Expression

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M Marudai - One of the best experts on this subject based on the ideXlab platform.

Ramakant Bhardwaj - One of the best experts on this subject based on the ideXlab platform.

V Pragadeeswarar - One of the best experts on this subject based on the ideXlab platform.

Rajesh Shrivastava - One of the best experts on this subject based on the ideXlab platform.

J F Leyva - One of the best experts on this subject based on the ideXlab platform.

  • Lineal Spline Approximation Algorithms for Solution of the Coefficient Inverse Problem for Nonlinear System of Ordinary Differential Equations and Applications in Neuroscience
    2014
    Co-Authors: Alexandre Grebennikov, J F Leyva, Autónoma Puebla
    Abstract:

    Abstract: – A nonlinear system of two ordinary differential equation of the first order is considered. It describes two applied neuroscience problems: 1) a neuronal activation (simplified Hodgkin- Huxley system); 2) a stationary process of the of the cerebral cortex activation. Two types of approximations of the non lineal member of this system are used and compared: traditional Rational Expression with functions of the exponential type; a new type of approximation as a lineal spline. For the considered applied problems the numerical algorithms are constructed and carried out as computing programs in the MatLab system. The quality of algorithms is demonstrated in comparing with traditional schemes on the numerical experiments for synthetic examples. Key-words: – Differential equations, inverse problems, spline approximation, brain cortex dynamics, neuronal activation.

  • lineal spline approximation algorithms for solution of the coefficient inverse problem for nonlinear system of ordinary differential equations and applications in neuroscience
    International Conference on Applied Mathematics, 2004
    Co-Authors: Alexandre Grebennikov, J F Leyva
    Abstract:

    A nonlinear system of two ordinary differential equation of the first order is considered. It describes two applied neuroscience problems: 1) a neuronal activation (simplified Hodgkin - Huxley system); 2) a stationary process of the of the cerebral cortex activation. Two types of approximations of the non lineal member of this system are used and compared: traditional Rational Expression with functions of the exponential type; a new type of approximation as a lineal spline. For the considered applied problems the numerical algorithms are constructed and carried out as computing programs in the MatLab system. The quality of algorithms is demonstrated in comparing with traditional schemes on the numerical experiments for synthetic examples.