| THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION |
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| 作者姓名： | 苏煜城 沈全 |
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| 作者单位： | Nanjing University，Nanjing，Nanjing University，Nanjing |
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| 摘 要： | The numerical solution of a singularly perturbed problem for the semilinear parabolicdifferential equation with parabolic boundary layers is discussed.A nonlinear two-leveldifference scheme is constructed on the special non-uniform grids.The uniform convergenceof this scheme is proved and some numerical examples are given.
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| 收稿时间： | 11 October 1990 |
The numerical solution of a singularly perturbed problem for semilinear parabolic differential equation |
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| Su Yu-cheng,Chen Quan.THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR SEMILINEAR PARABOLIC DIFFERENTIAL EQUATION[J].Applied Mathematics and Mechanics(English Edition),1991,12(11):1047-1056. |
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| Authors: | Su Yu-cheng Chen Quan |
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| Institution: | (1) Najing University, Nanjing |
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| Abstract: | 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. |
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| Keywords: | semilinear parabolic differential equation singularly perturbed problem finite difference method uniform convergence |
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