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A MODIFIED UPWIND DIFFERENCE SCHEME FOR NONLINEAR PARABOLIC EQUATIONS IN A VARIABLE DOMAIN
作者姓名:CutMINGRONG
作者单位:DepartmentofMathematics,ShandongUniversity,Jinan250100
摘    要:The nonlinear parabolic equations in a variable domain are considered. A modified up-wind difference scheme is given in the variable domain. Stability in l norm and error estimate in norm are obtained.

关 键 词:迎风差分格式  非线性抛物型方程  变量域  稳定性
收稿时间:18 June 1996

A modified upwind difference scheme for nonlinear parabolic equations in a variable domain
CutMINGRONG.A MODIFIED UPWIND DIFFERENCE SCHEME FOR NONLINEAR PARABOLIC EQUATIONS IN A VARIABLE DOMAIN[J].Applied Mathematics A Journal of Chinese Universities,1997,12(4):411-418.
Authors:CuI Mingrong
Institution:(1) Department of Mathematics, Shandong University, 250100 Jinan
Abstract:The nonlinear parabolic equations in a variable domain are considered. A modified upwind difference scheme is given in the variable domain. Stability in l-norm and error estimate in I 2 -norm are obtained. The project supported by the National Natural Science Foundation of China.
Keywords:Moving boundary  parabolic equation  finite difference method
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