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

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(4): 279-286

Su Yu-cheng, Zhang You-yu. Difference Scheme for an Initial-Boundary Value Problem for Linear Coefficient-Varied Parabolic Differential Equation with a Nonsmooth Boundary Layer Function[J]. Applied Mathematics and Mechanics, 1992, 13(4): 279-286.

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Difference Scheme for an Initial-Boundary Value Problem for Linear Coefficient-Varied Parabolic Differential Equation with a Nonsmooth Boundary Layer Function

Nanjing University, Nanjing

Received Date: 1990-12-25
Publish Date: 1992-04-15

Abstract

Abstract

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 εis given, and error estimate and numerical result are also given.
- nonsmooth boundary layer,
- characteristic boundary,
- nonuniform mesh,
- exponentially fitted,
- uniformly convergent difference scheme,
- parabolic differential equation

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References(6)

References

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