NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (8): 733-739.

NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE

吴启光, 李继春

Dept. of Math., Nanjing Univ., Nanjing

收稿日期:1990-11-06 出版日期:1991-08-18 发布日期:1991-08-18

NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE

Wu Qi-guang, Li Ji-chun

Dept. of Math., Nanjing Univ., Nanjing

Received:1990-11-06 Online:1991-08-18 Published:1991-08-18

摘要/Abstract

摘要： In this paper, we discuss the parabolic equation with a small parameter on the derivative in time variable. We construct difference scheme on the non-uniform mesh according to Bakhvalov, and prove the one-order uniform convergence of this scheme. Numerical results are presented.

关键词: difference scheme, uniform convergence, parabolic type equation, non-uniform mesh

Abstract: In this paper, we discuss the parabolic equation with a small parameter on the derivative in time variable. We construct difference scheme on the non-uniform mesh according to Bakhvalov, and prove the one-order uniform convergence of this scheme. Numerical results are presented.

Key words: difference scheme, uniform convergence, parabolic type equation, non-uniform mesh

吴启光;李继春. NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(8): 733-739.

Wu Qi-guang;Li Ji-chun. NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(8): 733-739.

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NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE

NUMERICAL METHODS FOR PARABOLIC EQUATION WITH A SMALL PARAMETER IN TIME VARIABLE

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