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THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION
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摘要 The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given. The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform con vergence of this scheme is proved and some numerical examples are given.
作者 苏煜城 沈全
机构地区 Nanjing University
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第11期1047-1056,共10页 应用数学和力学(英文版)
关键词 semilinear parabolic differential equation singularly perturbed problem finite difference method uniform convergence semilinear parabolic differential equation, singularly perturbed problem, finite difference method, uniform convergence
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