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一阶、二阶导数耦合的紧致差分格式及其应用

李佳 罗纪生

计算机工程与应用2012,Vol.48Issue(1):13-15,3.
计算机工程与应用2012,Vol.48Issue(1):13-15,3.DOI:10.3778/j.issn.1002-8331.2012.01.004

一阶、二阶导数耦合的紧致差分格式及其应用

Derivation and application compact scheme of coupling of first and second derivative

李佳 1罗纪生1

作者信息

  • 1. 天津大学机械工程学院力学系,天津300072
  • 折叠

摘要

Abstract

In the numerical calculation, the differential equations which are coupling equations of the first and second derivative need to be solved. In order to solve this kind of equations with the compact scheme, the compact scheme of coupling of the first and second derivative is derived. Using this scheme, the differential equations are dispersed directly. By the specific examples, the conclusions are that the compact scheme has advantages and is used to solve the two-dimensional partial differential equations.

关键词

一阶、二阶导数耦合/紧致差分格式/微分方程/数值计算

Key words

coupling of the first and second derivative/compact scheme/differential equations/numerical calculation

分类

数理科学

引用本文复制引用

李佳,罗纪生..一阶、二阶导数耦合的紧致差分格式及其应用[J].计算机工程与应用,2012,48(1):13-15,3.

基金项目

国家重点基础研究发展规划(973)(No.2009CB724103). (973)

计算机工程与应用

OACSCDCSTPCD

1002-8331

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