一类非线性广义神经传播方程Adini元的超收敛分析

J4 ›› 2011, Vol. 46 ›› Issue (8): 42-46.

一类非线性广义神经传播方程Adini元的超收敛分析

乔保民,梁洪亮

商丘师范学院数学系, 河南商丘 476000

收稿日期:2010-09-12 出版日期:2011-08-20 发布日期:2011-09-08
作者简介:乔保民(1963- ),男,副教授,研究方向为有限元理论及应用. Email:bmqiao@126.com
基金资助:
国家自然科学基金资助项目(10971203);河南教育厅自然科学基金资助项目(2010A110014)

Super-convergence analysis of Adini′s finite element for a kind of nonlinear generalized nerve conductive equations

QIAO Bao-min, LIANG Hong-liang

Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China

Received:2010-09-12 Online:2011-08-20 Published:2011-09-08

摘要/Abstract

摘要：

讨论了Adini元对一类非线性广义神经传播方程的逼近,通过导数转移方法和平均值技巧,给出了其近似解与精确解的误差估计及超逼近性,通过使用插值后处理技巧得到了整体超收敛结果。

关键词: 神经传播方程;Adini元;误差估计;超逼近;超收敛

Abstract:

The convergence analysis is studied for a kind of nonlinear generalized nerve conductive equations by Adini′s finite element. Error estimates and result of superclose are obtained by using some novel approaches and techniques. Finally, the corresponding global superconvergence is obtained by taking the advantage of the post-processing technique.

Key words: nerve conductive equations; Adini′s finite element; error estimate; superclose; super-convergence

乔保民,梁洪亮. 一类非线性广义神经传播方程Adini元的超收敛分析[J]. J4, 2011, 46(8): 42-46.

QIAO Bao-min, LIANG Hong-liang. Super-convergence analysis of Adini′s finite element for a kind of nonlinear generalized nerve conductive equations[J]. J4, 2011, 46(8): 42-46.

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