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奇异摄动对流扩散方程组的参数一致的二阶有限差分格式

LIAO Yige,LIU Libin,LONG Guangqing

Mathematica Applicata（2023）

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Abstract
针对一类奇异摄动对流扩散方程组,在Vulanovi?-Bakhvalov网格上构造了经典的迎风有限差分格式,并利用闸函数方法证明了数值方法为一阶收敛.在此基础上,设计了一个Richardson外推格式,并严格证明了外推方法的精度为二阶一致收敛.数值实验验证了本文的理论结果.
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Key words
Singularly perturbed,■ mesh,Finite difference method,Richardson extrapolation
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