Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (4): 98-103.

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An Explicit Difference Scheme with High Accuracy and Branching Stability for Solving Parabolic Partial Differential Equation 

  

  1. 河南师范大学数学系 河南新乡453002,河南师范大学教育系 河南新乡453002 
  • Received:2000-07-13 Online:2000-12-30 Published:2024-07-02
  • About author:MA Ming-shu(1941-),male,native of Xiuwu,Henan,a professor of Henan Normal University,engages in numerical solution of partial differentical equation.
  • Supported by:
    Support by the Natural Science Foundation of Henan Education Commission(97110007)

Abstract: 用待定参数法构造了解一维抛物型方程的分支稳定的高精度显式差分格式 ,截断误差为O(△t4△x4) ,稳定性条件为r=α△t/△x2 <1 /2 . 

Key words: 抛物型方程, 显式差分格式, 高精度, 分支稳定, 截断误差,  ,

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