Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (2): 94-97.

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A-high-order Accuraqcy Implicit Difference Scheme for Solving the Equation of Parabolic Type 

  

  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453000 
  • Received:1999-12-28 Online:2000-06-30 Published:2024-08-08
  • 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.

Abstract: 利用待定参数法 ,对一维抛物型方程构造出了一个截断误差为O(Δx+Δx4 )的隐式差分格式 ,格式的稳定性条件为r=αΔt/Δx2 ≤ 1/ 2 ,可用追赶法求解. 

Key words: 一维抛物型方程, 高精度, 隐式差分格式,

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