拟线性抛物型方程奇异摄动问题的数值解法

苏煜城; 沈全

拟线性抛物型方程奇异摄动问题的数值解法

苏煜城,
沈全

南京大学数学系

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出版历程
- 收稿日期: 1991-07-25
- 刊出日期: 1992-06-15

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

Department of Mathematics, Nanjing University, Nanjing

摘要

摘要: 本文讨论拟线性抛物型方程奇异摄动问题的差分解法,在非均匀网格上建立了线性三层差分格式,并证明了在离散的L₂范数意义下格式的一致收敛性,最后给出了一些数值例子.
- 拟线性抛物型方程 /
- 奇异摄动 /
- 线性三层差分格式 /
- 一致收敛性
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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参考文献(11)

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