| 奇异摄动初值问题的一致收敛有限差分法 |
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| 引用本文： | G.M.艾米雷利耶弗 哈基,杜柔. 奇异摄动初值问题的一致收敛有限差分法[J]. 应用数学和力学, 1999, 20(4): 363-370 |
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| 作者姓名： | G.M.艾米雷利耶弗 哈基 杜柔 |
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| 作者单位： | YY大学数学系, 凡城 65080, 土耳其 |
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| 摘 要： | 通过一阶和二阶导数讨论了带小参数的线性二阶常微分方程的初值问题.在均匀网格上得出了带常数拟合因子的指数型拟合差分格式,给出了离散最大模意义上的一阶一致收敛性.文中给出了数值结果.
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| 关 键 词： | 奇异摄动 差分格式 一致收敛 初值条件 线性常微分方程 |
| 收稿时间： | 1997-11-25 |
A Uniformly Convergent Finite Difference Method for a Singularly Perturbed Initial Value Problem |
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| G.M.艾米雷利耶弗 哈基,Duru. A Uniformly Convergent Finite Difference Method for a Singularly Perturbed Initial Value Problem[J]. Applied Mathematics and Mechanics, 1999, 20(4): 363-370 |
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| Authors: | G.M.艾米雷利耶弗 哈基 Duru |
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| Affiliation: | Deptartment of Mathematics, Y Y University, 65080 VAN, TURKEY |
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| Abstract: | Initial value problem for linear second order ordinary differential equation with small parameter by first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting factors is developed in a uniform mesh, which gives first_order uniform convergence in the sense of discrete maximum norm. Numerical results are also presented. |
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| Keywords: | singular perturbation difference scheme uniform convergence initial value condition linear ordinary differential equation |
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