The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation

Su Yu-cheng; Shen Quan

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Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation[J]. Applied Mathematics and Mechanics, 1991, 12(11): 979-988.

Citation:

Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation[J]. Applied Mathematics and Mechanics, 1991, 12(11): 979-988.

Citation:

Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation[J]. Applied Mathematics and Mechanics, 1991, 12(11): 979-988.

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The Numerical Solution of a Singularly Perturbed Problem for Semilinear Parabolic Differential Eqnation

Nanjing University, Nanjing

Received Date: 1990-10-11
Publish Date: 1991-11-15

Abstract

Abstract

The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given.
- semilinear parabolic differential equation,
- singularly perturbed problem,
- finite difference method,
- uniform convergence

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References(5)

References

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