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

Authors:
Zhoufeng Wang;Zhiyue Zhang
Affiliations:
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing and The School of Science, He Nan University of Science and Technology, Luoyang;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing
Venue:
Neural, Parallel & Scientific Computations
Year:
2007

Citing 5
Cited 0

On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials

SIAM Journal on Numerical Analysis
The new ADI characteristics finite element methods for the three-dimensional generalized nerve conduction equation

Neural, Parallel & Scientific Computations
A multistep characteristic finite difference method for a class of nerve conduction equations

Neural, Parallel & Scientific Computations
Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains

SIAM Journal on Numerical Analysis
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	0.00

Visualization

Abstract

In the paper, a fully discrete 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(Δt + h2). A numerical experiment is given which showed the method is practicable.