Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 497-506.

• Articles •     Next Articles

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION

Su Yu-cheng, Shen Quan   

  1. Department of Mathematics, Nanjing University, Nanjing
  • Received:1991-07-25 Online:1992-06-18 Published:1992-06-18

Abstract: We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.

Key words: quasilinear parabolic difTerential equation, singular perturbation, linear three-level difference scheme, uniform convergence

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