$Galerkin finite element method and error analysis for the fractional cable equation$

Galerkin finite element method and error analysis for the fractional cable equation

The cable equation is one of the most fundamental equations for modeling neuronal dynamics. These equations can be derived from the Nernst-Planck equation for electro-diffusion in smooth homogeneous cylinders. Fractional cable equations are introduced to model electrotonic properties of spiny neuron...

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Veröffentlicht in:	Numerical algorithms 2016-06, Vol.72 (2), p.447-466
Hauptverfasser:	Zhuang, P., Liu, F., Turner, I., Anh, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algorithms Approximation Computer Science Convergence Differential equations Error analysis Exact solutions Finite element analysis Finite element method Galerkin method Mathematical analysis Mathematical models Numeric Computing Numerical Analysis Operators (mathematics) Original Paper Theory of Computation
Online-Zugang:	Volltext
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