The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation

Authors

  • Zhiyue Zhang

Keywords:

Nerve conduction equation;the alternating-direction implicit;characteristic finite element;optimal order estimate in L²

Abstract

A complete convergence nnalysis is given for two-level scheme of the alternating-direction implicit characteristic finite element method for the approximate solution of the three-dimensional generalized nerve conduction equation. By use of the calculation of vector product, H^{-1} norm estimates, and a priori estimate theory and technique, the optimal order estimate in L² is obtained.

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Published

2001-08-02

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Issue

Vol. 14 No. 3 (2001)

Section

Articles

How to Cite

The Alternating-direction Implicit Characteristic Finite Element Methods for the Three-dimensional Generalized Nerve Conduction Equation. (2001). Journal of Partial Differential Equations, 14(3), 207-219. https://www.global-sci.com/index.php/jpde/article/view/3972