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DIFFERENCE SCHEME FOR AN INITIAL-BOUNDARY VALUE PROBLEM FOR LINEAR COEFFICIENT-VARIED PARABOLIC DIFFERENTIAL EQUATION WITH A NONSMOOTH BOUNDARY LAYER FUNCTION

DIFFERENCE SCHEME FOR AN INITIAL-BOUNDARY VALUE PROBLEM FOR LINEAR COEFFICIENT-VARIED PARABOLIC DIFFERENTIAL EQUATION WITH A NONSMOOTH BOUNDARY LAYER FUNCTION
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摘要 In this paper, using nonuniform mesh and exponentially fitted difference method, a uniformly convergent difference scheme for an initial-boundary value problem of linear parabolic differential equation with the nonsmooth boundary layer function with respect to small parameter e is given, and error estimate and numerical result are also given. In this paper, using nonuniform mesh and exponentially fitted difference method, a uniformly convergent difference scheme for an initial-boundary value problem of linear parabolic differential equation with the nonsmooth boundary layer function with respect to small parameter e is given, and error estimate and numerical result are also given.
机构地区 Nanjing University
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第4期297-304,共8页 应用数学和力学(英文版)
关键词 nonsmooth boundary layer characteristic boundary nonuniform mesh exponentially fitted uniformly convergent difference scheme parabolic differential equation nonsmooth boundary layer, characteristic boundary, nonuniform mesh, exponentially fitted, uniformly convergent difference scheme, parabolic differential equation
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