郑州大学学报（理学版）2016，Vol.48Issue(1)：10-16,7.DOI:10.3969/j.issn.1671-6841.201506013
求解一维扩散方程的一种高精度紧致差分方法
A High-order Compact Difference Method for the One-dimensional Diffusion Equation
摘要
Abstract
For the one dimensional diffusion equation, a high-order compact difference scheme was con-structed by using the fourth-order Padé formula for space discretization and the generalized trapezoidal for-mula for time discretization, and the truncation error of the scheme was O(τ2 +h4 ) . The unconditional stability of the scheme was analyzed by theoritical method. Numerical experiments were carried out to ver-ify the accuracy and the reliability of the present method.关键词
扩散方程/Padé 逼近/紧致格式/广义梯形公式/稳定性Key words
diffusion equation/Padé approximation/compact scheme/generalized trapezoidal formula/stability分类
数学引用本文复制引用
杨晓佳,葛永斌..求解一维扩散方程的一种高精度紧致差分方法[J].郑州大学学报（理学版）,2016,48(1):10-16,7.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）
