| A UNIFORM NUMERICAL METHOD FOR QUASILINEAR SINGULAR PERTURBATION PROBLEM WITH A TURNING POINT |
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| 引用本文： | LIUGUOQING. A UNIFORM NUMERICAL METHOD FOR QUASILINEAR SINGULAR PERTURBATION PROBLEM WITH A TURNING POINT[J]. 高校应用数学学报(英文版), 1995, 10(4): 427-438. DOI: 10.1007/BF02662498 |
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| 作者姓名： | LIUGUOQING |
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| 作者单位： | DepartmentofBasicSctence,NanjinglnstituteofChemicalTechnology,Nanjing210009 |
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| 摘 要： | A nonlinear difference scheme is given for solving a quasilinear siagularly perturbed two-point boundary value problem with a turning point. The method uses non-equidistant discretization meshes. The solution of the scheme is shown to be first order accurate in the discrete L^∞ norm, uniformly in the perturbation parameter.
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| 关 键 词： | 拟线性奇异摄动 转向点 边值问题 非线性差分格式 数值解 |
| 收稿时间： | 1994-03-07 |
A uniform numerical method for quasilinear singular perturbation problem with a turning point |
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| Guoqing Liu. A uniform numerical method for quasilinear singular perturbation problem with a turning point[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(4): 427-438. DOI: 10.1007/BF02662498 |
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| Authors: | Guoqing Liu |
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| Affiliation: | LIU GUOQING |
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| Abstract: | A nonlinear difference scheme is given for solving a quasilinear singularly perturbed two-point boundary value problem with a turning point. The method uses non-equidistant discretization meshes. The solution of the scheme is shown to be first order accurate in the discreteL ∞ norm, uniformly in the perturbation parameter. |
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| Keywords: | Quasilinear singular perturbation non-equidistant meshes uniform convergence. |
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