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

Authors:
Zhiyue Zhang;Zhoufeng Wang
Affiliations:
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing
Venue:
Neural, Parallel & Scientific Computations
Year:
2008

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Abstract

In the paper, a fully discrete Multistep characteristic finite volume element method is introduced and analyzed for approximating the solution of a nonlinear-hyperbolic equation in 2-space variables. Piecewise quadratic trial functions and piecewise constant test functions are used to finally obtain error estimate O(Δt2+ h2). A numerical experiment is given which showed the method is practicable.