Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (3): 235-239.

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FOUR-POINT EXPLICIT DIFFERENCE SCHEMES FOR THE DISPERSIVE EQUATION

Li Yi   

  1. Department of Mathematics, Sichuan University, Chengdu
  • Received:1990-03-07 Online:1993-03-18 Published:1993-03-18

Abstract: A class of three-level explicit difference schemes for the dispersive equation ut=auxxx tare established.These schemes have higher stability and involve four mesh points at the middle level.Their local truncation errors are O(t+h)and stability conditions are from |R|≤0.25 to |R|≤10,where |R|=|a|ι/h3, which is much better than |R|≤0.25[1]

Key words: dispersive equation, four-point explicit difference scheme, higher stability

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