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A MODIFIED UPWIND DIFFERENCE SCHEME FOR NONLINEAR PARABOLIC EQUATIONS IN A VARIABLE DOMAIN
引用本文:CutMINGRONG. A MODIFIED UPWIND DIFFERENCE SCHEME FOR NONLINEAR PARABOLIC EQUATIONS IN A VARIABLE DOMAIN[J]. 高校应用数学学报(英文版), 1997, 12(4): 411-418. DOI: 10.1007/s11766-997-0043-6
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:1996-06-18

A modified upwind difference scheme for nonlinear parabolic equations in a variable domain
CuI Mingrong. 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. DOI: 10.1007/s11766-997-0043-6
Authors:CuI Mingrong
Affiliation:(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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