The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation

Su Yu-cheng; Shen Quan

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Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 479-488.

Citation:

Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 479-488.

Citation:

Su Yu-cheng, Shen Quan. The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 479-488.

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The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation

Department of Mathematics, Nanjing University, Nanjing

Received Date: 1991-07-25
Publish Date: 1992-06-15

Abstract

Abstract

We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation,we 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.
- quasilinear parabolic difTerential equation,
- singular perturbation,
- linear three-level difference scheme,
- uniform convergence

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References(11)

References

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