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Characteristics神经传播方程的特征差分及特征有限元方法(英文) 被引量:3

Characteristics Difference and Finite Element Methods for Neurve Conduction Equation
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摘要 给出矩形域上神经传播方程的两层特征差分及特征有限元格式 ,并且证明了 l2 和L 2模误差估计是最优的 . A complete convergence analysis is given for two level, characteristic difference and finite element schemes for the approximate solution of a class generalized neurve conduction on rectangles. It is shown that the schemes are of optimal order accuracy in l 2 and L 2.
作者 张志跃 杜宁
机构地区 山东大学数学院
出处 《应用数学》 CSCD 北大核心 2001年第2期120-124,共5页 Mathematica Applicata
基金 Supported by NNSF of China( 1 9972 0 3 9) and RFDP of Higher Education( 960 4 2 2 0 2 )
关键词 特征差分 特征有限元 l2和L2最优误差估计 Characteristic difference Characteristic finite element Optimal order l 2 and L 2.
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参考文献6

  • 1Wheeler M F.A priori L2 error estimates for Galerkin approximations to parabolic partial differential equations[].SIAM Journal on Numerical Analysis.1973
  • 2Pao C V.An mixed initial boundary value problem arising in Neurophysicology[].Journal of Mathematical Analysis and Applications.1975
  • 3Rusell T F.Time stepping along characteristics with incomplete iteration for a galerkin approximation of miscible displacement in porous media[].SIAM Journal on Numerical Analysis.1985
  • 4Liu yacheng and Yang Haiou.Existence and Nonexistence of Global solution for a class semilinear heat equation[].Acta Mathematica Scientia.1999
  • 5Baker G A.Error estimates for finite element methods for second order hyperbolic equations[].SIAM Journal on Numerical Analysis.1976
  • 6Yuan Yirang.Characteristic difference methods and l 2 estimate for strengthening to extract oil simulation[].Science in China.1993

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