Applied Mathematics and Mechanics

, Volume 13, Issue 4, pp 297–304 | Cite as

Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function

  • Su Yu-cheng
  • Zhang You-yu


In this paper, using nonuniform mesh and exponentially fitted difference method, a uniformly convergent difference scheme for an initial-boundary value problem of linear parabolic differential equation with the nonsmooth boundary layer function with respect to small parameter ε is given, and error estimate and numerical result are also given.

Key words

nonsmooth boundary layer characteristic boundary nonuniform mesh exponentially fitted uniformly convergent difference scheme parabolic differential equation 


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Copyright information

© Shanghai University of Technology (SUT) 1992

Authors and Affiliations

  • Su Yu-cheng
    • 1
  • Zhang You-yu
    • 1
  1. 1.Nanjing UniversityNanjing

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