含双参数的半线性奇异摄动问题的一致收敛差分格式 |
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引用本文: | 王国英. 含双参数的半线性奇异摄动问题的一致收敛差分格式[J]. 计算数学, 1991, 13(4): 412-416 |
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作者姓名: | 王国英 |
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作者单位: | 南京大学 |
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摘 要: | ![]() 考虑半线性边值问题: T(y)≡-εy″+μ(a(x)y)′+b(x,y)=0,0
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关 键 词: | 半线性 边值问题 差分格式 参数 |
A Uniformly Convergent Difference Scheme for a Semilinear Singular Perturbation Problem Involving Two Parameters |
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Affiliation: | Wang Guo-ying Nanjing University |
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Abstract: | ![]() In this paper, a difference scheme for solving a semilinear singular perturbationproblem with two small parameters is presented. It is shown that the solution ofthe scheme converges, uniformly in perturbation parameters, to that of the contin-uous problem. A numerical example is given. |
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