| 具有周期边界的守恒型方程的奇摄动问题 |
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| 引用本文： | 蔡新.具有周期边界的守恒型方程的奇摄动问题[J].集美大学学报(自然科学版),2000,5(1):22-25. |
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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,福建,厦门,361021 |
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| 摘 要： | 研究了守恒型奇摄动方程的周期边界问题，构造一个差分格式，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 差分格式 |
| 文章编号： | O 241．81 |
| 修稿时间： | 1999-07-16 |
A Singular Perturbation Problem for Conservative Differential Equation With Periodic Boundary |
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| CAI Xin.A Singular Perturbation Problem for Conservative Differential Equation With Periodic Boundary[J].the Editorial Board of Jimei University(Natural Science),2000,5(1):22-25. |
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| Authors: | CAI Xin |
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| Abstract: | This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves 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 difference scheme uniform convergence |
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