A multistep characteristic finite difference method for a class of nerve conduction equations

Authors:
Zhiyue Zhang;Hong Wei
Affiliations:
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing;LASG, Institute of Atmospheric Physics, Chinese Academy Sciences, Beijing
Venue:
Neural, Parallel & Scientific Computations
Year:
2003

Citing 1
Cited 2

Alternating direction multistep methods for parabolic problems-iterative stabilization

SIAM Journal on Numerical Analysis

The characteristic finite volume element methods for the two-dimensional generalized nerve conduction equation

Neural, Parallel & Scientific Computations
The fully discrete multistep characteristic finite volume element methods for the two-dimensional generalized nerve conduction equation

Neural, Parallel & Scientific Computations

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Abstract

The multistep characteristic difference scheme is given for the periodic initial boundary problem of a class of two-dimensional generalized nerve conduction equation. Based on biquadratic interpolations, using the general transformation and the theory and technique of priori estimates, optimal order error estimates in l2 is obtained and improved accuracy on the temporal direction to O((Δt)2). Numerical experiment implies that this scheme has higher accuracy and efficiency.