一类非线性广义神经传播方程Adini元的超收敛分析  

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

作　　者：乔保民[1] 梁洪亮[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《山东大学学报（理学版）》2011年第8期42-46,共5页Journal of Shandong University(Natural Science)

基　　金：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)

摘　　要：讨论了Adini元对一类非线性广义神经传播方程的逼近,用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,并通过使用插值后处理技巧得到了整体超收敛结果。The convergence analysis is studied for a kind of nonlinear generalized nerve conductive equations by the Adini＇s finite element. Error estimates and result of super-close are obtained by using some novel approaches and tech niques. Finally, the corresponding global super-convergence is obtained by taking the advantage of the post-processing technique.

关 键 词：神经传播方程 Adini元 误差估计 超逼近 超收敛 

分 类 号：O242.21[理学—计算数学]