Best finite-difference scheme for the Fisher equation

被引：0
|
作者：
Mickens, Ronald E. [1 ]
机构：
[1] Clark Atlanta Univ, Atlanta, United States
来源：
Numerical Methods for Partial Differential Equations | 1994年 / 10卷 / 05期
关键词：
Convergence of numerical methods - Differential equations - Integration - Mathematical models;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new class of finite-difference schemes is constructed for the Fisher partial differential equation. These schemes are constructed according to the nonstandard modeling rules formulated by Mickens. They have the property that, in the appropriate limits, the discrete models obtained are either `exact' or `best' finite-difference schemes for corresponding differential equation. Consequently, the elementary numerical instabilities will not occur.
引用
收藏
页码：581 / 585
相关论文
共 50 条
  • [41] FINITE-DIFFERENCE SOLUTIONS OF THE INFILTRATION EQUATION
    KUNZE, RJ
    NIELSEN, DR
    SOIL SCIENCE, 1982, 134 (02) : 81 - 88
  • [42] An optimized implicit finite-difference scheme for the two-dimensional Helmholtz equation
    Liu, Zhao-lun
    Song, Peng
    Li, Jin-shan
    Li, Jing
    Zhang, Xiao-bo
    GEOPHYSICAL JOURNAL INTERNATIONAL, 2015, 202 (03) : 1805 - 1826
  • [43] A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrodinger equation
    Bratsos, A.G.
    Korean Journal of Computational and Applied Mathematics, 2001, 8 (03): : 459 - 467
  • [44] A FINITE-DIFFERENCE SOLUTION OF THE EIKONAL EQUATION
    LOKTIONOV, BA
    PLESHKEVICH, AL
    IZVESTIYA AKADEMII NAUK SSSR FIZIKA ZEMLI, 1989, (12): : 57 - 64
  • [45] Analysis of a finite-difference scheme for a linear advection-diffusion-reaction equation
    Mickens, RE
    JOURNAL OF SOUND AND VIBRATION, 2000, 236 (05) : 901 - 903
  • [46] Finite-difference scheme on nonuniform grids for a two-dimensional parabolic equation
    Samarskii, AA
    Mazhukin, VI
    Matus, PP
    DIFFERENTIAL EQUATIONS, 1998, 34 (07) : 982 - 990
  • [47] A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation
    Macias-Diaz, J. E.
    Puri, A.
    APPLIED NUMERICAL MATHEMATICS, 2010, 60 (09) : 934 - 948
  • [48] ANALYSIS OF A NEW FINITE-DIFFERENCE SCHEME FOR THE LINEAR ADVECTION-DIFFUSION EQUATION
    MICKENS, RE
    JOURNAL OF SOUND AND VIBRATION, 1991, 146 (02) : 342 - 344
  • [49] A stability analysis for a generalized finite-difference scheme applied to the pure advection equation
    Tinoco-Guerrero, G.
    Dominguez-Mota, F. J.
    Gaona-Arias, A.
    Ruiz-Zavala, M. L.
    Tinoco-Ruiz, J. G.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 147 : 293 - 300
  • [50] STABILITY AND ACCURACY OF A FINITE-DIFFERENCE SCHEME FOR ELASTIC WAVE-EQUATION MODELING
    NICOLETIS, L
    BAMBERGER, A
    DAUDIER, S
    GOSSELIN, O
    LAILLY, P
    GEOPHYSICS, 1985, 50 (02) : 357 - 357
12345