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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (9): 793-801.

• 论文 •    下一篇

NUMERICAL SOLUTIONS FOR SINGULARLY PERTURBED SEMI-LINEAR PARABOLIC EQUATION

吴启光, 李继春   

  1. Department of Mathematics, Nanjing University, Nanjing
  • 收稿日期:1992-04-30 出版日期:1993-09-18 发布日期:1993-09-18

NUMERICAL SOLUTIONS FOR SINGULARLY PERTURBED SEMI-LINEAR PARABOLIC EQUATION

Wu Qi-guang, Li Ji-chun   

  1. Department of Mathematics, Nanjing University, Nanjing
  • Received:1992-04-30 Online:1993-09-18 Published:1993-09-18

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摘要： In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in e of the first order accuracy is obtained.

Abstract: In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in e of the first order accuracy is obtained.

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