| 半线性常微分方程混合边值奇摄动问题的一致差分格式* |
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| 引用本文： | 白清源,林鹏程.半线性常微分方程混合边值奇摄动问题的一致差分格式*[J].应用数学和力学,1996,17(2):181-188. |
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| 作者姓名： | 白清源 林鹏程 |
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| 作者单位： | 福州大学计算机系 福州 350002 |
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| 基金项目： | 国家和福建省自然科学基金 |
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| 摘 要： | 本文应用分离奇性法研究半线性常微分方程混合边值奇摄动问题的一致差分格式,我们证明了所构造的I1'in型差分格式关于小参数ε的一阶一致收敛性.在本文的最后,我们给出一个数值例子,计算结果与理论分析相符合.
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| 关 键 词： | 奇摄动问题 差分格式 一致收敛性 混合边值 半线性常微分方程 |
| 收稿时间： | 1993-07-04 |
A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition |
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| Bat Qingyuan, Lin Pengcheng.A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J].Applied Mathematics and Mechanics,1996,17(2):181-188. |
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| Authors: | Bat Qingyuan Lin Pengcheng |
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| Institution: | Fuzhou University, Fuzhou 350002, P. R. China |
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| Abstract: | In this paper, the method of separating singularity is applied to study theuniformly difference scheme of a singular perturbation problem for a semilinearordinary differential equation with mixed boundary yalue condition. The uniformconvergence on small parameter B of order one for an Il'in type difference schemeconstructed is proved. At the end of the paper, a numerical example is given.The computing results coincide with the theoretical analysis. |
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| Keywords: | singular perturbation problem differene scheme uniform convergence mixed boundary value condition semilinear ordinary differentialequation |
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