江西科学Issue(1)：10-14,5.DOI:10.13990/j.issn1001-3679.2016.01.003
热传导方程的一个高精度8点隐式差分格式
A High Precision Implicit Difference Scheme with Eight Points for Solving the Heat Conduction Equation
摘要
Abstract
In this paper,we mainly consider the finite difference method for an initial-boundary prob-lem of standard heat conduction equation in one-dimensional space. An implicit difference scheme of two layers with eight points for the initial-boundary problem was constructed by using Taylor expan-sion and undetermined parameters method. The local truncation error of the proposed difference scheme is Q(τ3 +h6),and the stability condition is 0<r≤0. 126 or 0. 203≤r≤1. 352. Finally,two numerical examples were given to verify the effect of the proposed difference scheme.关键词
热传导方程/Taylor展开/待定系数法/截断误差/稳定性条件Key words
heat conduction equation/Taylor expansion/undetermined parameters method/truncation error/stability condition分类
数理科学引用本文复制引用
谢安来,邱淑芳,黄何露..热传导方程的一个高精度8点隐式差分格式[J].江西科学,2016,(1):10-14,5.基金项目
江西省自然科学基金（20151BAB201018,20142BAB201008) （）
江西省高校科技落地计划（KJLD14051)。 （）
