A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)

本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.

Bibliographic Details
Main Authors: LIANGKe-wei(梁克维), JINZhong-qiu(金中秋), LIDa-ming(李大明)
Format: Article
Language:zho
Published: Zhejiang University Press 2000-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2000.27.5.473-476
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author LIANGKe-wei(梁克维)
JINZhong-qiu(金中秋)
LIDa-ming(李大明)
author_facet LIANGKe-wei(梁克维)
JINZhong-qiu(金中秋)
LIDa-ming(李大明)
author_sort LIANGKe-wei(梁克维)
collection DOAJ
description 本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.
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spelling doaj.art-b15b6b0d9d37417199641adeede956162024-03-29T01:58:16ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972000-09-01275473476zjup/1008-9497.2000.27.5.473-476A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)LIANGKe-wei(梁克维)0JINZhong-qiu(金中秋)1LIDa-ming(李大明)2Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系,浙江 杭州 310028)本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.https://doi.org/zjup/1008-9497.2000.27.5.473-476奇异摄动两点边界值问题差分格式加密网格green函数
spellingShingle LIANGKe-wei(梁克维)
JINZhong-qiu(金中秋)
LIDa-ming(李大明)
A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
Zhejiang Daxue xuebao. Lixue ban
奇异摄动两点边界值问题
差分格式
加密网格
green函数
title A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
title_full A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
title_fullStr A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
title_full_unstemmed A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
title_short A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
title_sort finite difference scheme uniform in ε for singularly perturbed problems 关于ε一致的奇异摄动问题的差分格式及其收敛速度
topic 奇异摄动两点边界值问题
差分格式
加密网格
green函数
url https://doi.org/zjup/1008-9497.2000.27.5.473-476
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