Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (12): 1209-1215.

• Articles • Previous Articles     Next Articles

THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION

Sun Qi-ren   

  1. Shanghai University of Technology: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1990-10-15 Online:1991-12-18 Published:1991-12-18

Abstract: This paper proposes a new method to improve the stability condition of difference scheme of a parabolic equation. Necessary and sufficient conditions of the stability of this new method are given and proved. Some numerical examples show that this method has some calculation advantages.

Key words: stability condition, parabolic equation, difference scheme

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals