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两点边值问题的混合型高精度紧致差分格式

梁昌弘 马廷福 葛永斌

宁夏大学学报(自然科学版)2017,Vol.38Issue(1):1-4,4.
宁夏大学学报(自然科学版)2017,Vol.38Issue(1):1-4,4.

两点边值问题的混合型高精度紧致差分格式

Mixed High-order Compact Difference Scheme for Solving the Two-point Boundary Value Problem

梁昌弘 1马廷福 1葛永斌1

作者信息

  • 1. 宁夏大学数学统计学院,宁夏银川 750021
  • 折叠

摘要

Abstract

Compact scheme is divided into explicit compact scheme and implicit compact scheme.With the help of two kinds of compact scheme ideas,a mixed high-order compact difference scheme is constructed for solving the two-point boundary value problem.The scheme uses three-point unknown function values and theirs first-order derivative values.The first-order derivative is solved by the Padé scheme.The proposed scheme is overall fouth-order accuracy.Numerical experiments are given to prove the efficiency and dependability of the present scheme.

关键词

两点边值问题/紧致格式/高精度/混合型/对流扩散反应

Key words

two-point boundary value problem/compact scheme/high-order/mixed/convection diffusion reaction

分类

数理科学

引用本文复制引用

梁昌弘,马廷福,葛永斌..两点边值问题的混合型高精度紧致差分格式[J].宁夏大学学报(自然科学版),2017,38(1):1-4,4.

基金项目

国家自然科学基金资助项目(11361045,11161036) (11361045,11161036)

宁夏高等学校科学技术研究项目(NGY2013019) (NGY2013019)

宁夏大学学报(自然科学版)

OACSTPCD

0253-2328

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