The new ADI characteristics finite element methods for the three-dimensional generalized nerve conduction equation

Authors:
Zhang Zhiyue
Affiliations:
School of Mathematics and Computer Sciene, Nanjing Normal University, Nanjing, 210097 and Institute of Mathematics, Shandong University, Jinan
Venue:
Neural, Parallel & Scientific Computations
Year:
2002

Citing 2
Cited 2

A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems

SIAM Journal on Numerical Analysis
An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables

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

Quantified Score

Hi-index	0.00

Visualization

Abstract

A complete convergence analysis is given for new two-level scheme for the alternating-direction implicit characteristics finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. Using the calculation of vector product, H-1 norm estimates, and priori estimate theory and technique, optimal order estimates in H01 is obtained.