| 具有周期边界的守恒型方程的守恒型差分格式 |
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| 引用本文： | 蔡新. 具有周期边界的守恒型方程的守恒型差分格式[J]. 应用数学和力学, 2001, 22(10): 1092-1096 |
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| 作者姓名： | 蔡新 |
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| 作者单位： | 集美大学计算机系 |
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| 摘 要： | 研究守恒型奇摄动方程的周期边界问题，构造了一个守恒型差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。
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| 关 键 词： | 守恒方程 奇摄动 周期边界 一致收敛 差分格式 常微分方程 周期边值问题 |
| 文章编号： | 10000887(2001)10109205 |
| 修稿时间： | 2000-03-24 |
A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary |
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| CAI Xin. A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary[J]. Applied Mathematics and Mechanics, 2001, 22(10): 1092-1096 |
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| Authors: | CAI Xin |
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| Abstract: | The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied, and a conservative difference scheme was constructed. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, it is proved that the scheme converges uniformly to the solution of differential equation with order one. |
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| Keywords: | conservative equation singular perturbation periodic boundary conservative difference scheme uniform convergence |
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