| 二维非线性椭圆型奇异摄动边值问题差分格式 |
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| 引用本文： | 刘国庆. 二维非线性椭圆型奇异摄动边值问题差分格式[J]. 计算数学, 1996, 18(2): 149-154 |
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| 作者姓名： | 刘国庆 |
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| 作者单位： | 南京化工学院 |
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| 摘 要： | 二维非线性椭圆型奇异摄动边值问题差分格式刘国庆（南京化工学院）ＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＦＯＲＴＷＯ－ＤＩＭＥＮＳＩＯＮＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＳＩＮＧＵＬＡＲＬＹＰＥＲＴＵＲＢＥＤＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭ￥ＬｉｕＧｕ...
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| 关 键 词： | 椭圆型方程 奇摄动 边值问题 差分格式 非线性 |
DIFFERENCE SCHEME FOR TWO-DIMENSION NONLINEAR ELLIPTIC SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM |
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| Affiliation: | Liu Guo-qing (Department OF Basic Science, Nanjing Institute of Chemical Technology) |
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| Abstract: | Abstract In this paper, we discuss a type of two-dimension nonlinearly elliptic singularly perturbed boundary value problem, and derive the estimates of the derivatives of the solution. An exponential type of difference scheme is constructed for this problem. We show the existence and uniqueness of solutions to the nonlinear scheme. Finally, the solution of the scheme is shown to be uniformly convergence to the solution of original problem with respect to the perturbation parameter, in L1 norm. |
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