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| 摘要: |
| 本文研究了一类椭圆型奇异摄动问题.利用Bakhvalov-Shishkin网格上的差分方法,获得了数值解一致一阶收敛于真解的结果. |
| 关键词: 奇异摄动 Bakhvalov-Shishkin网格 差分格式 比较定理 一致收敛 |
| DOI： |
| 分类号:O241.82 |
| 基金项目:湖南省高等学校科学研究一般项目(10C0913). |
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| ANALYSIS OF UNIFORM CONVERGENCE FOR DIFFERENCE SCHEME OF AN ELLIPTIC SINGULARLY PERTURBED PROBLEM |
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ZHOU Qin
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| Abstract: |
| In this article,we study an elliptic singularly perturbed problem.By using the difference method on the Bakhvalov-Shishkin mesh,we prove that the numerical solution is uniformly first-order convergent to the exact solution. |
| Key words: singular perturbation Bakhvalov-Shishkin mesh difference scheme comparison theory uniformly convergence |
