解一维热传导方程的高精度的隐式差分格式  

The High Accuracy Implicit Difference Scheme for Solving Parabolic Equations of One-Dimension

作　　者：孙鸿烈[1] 

机构地区：[1]辽宁大学数学系,沈阳110036

出　　处：《数学的实践与认识》1998年第3期197-200,共4页Mathematics in Practice and Theory

摘　　要：本文对求解一维热传导方程利用待定参数法构造出截断误差为O(Δt^3+Δx^4)的高精度的隐式差分格式,并讨论了其绝对稳定性.This paper presents an high accuracy absolutely stable implicit two-level differ-ence scheme for solving parabolic differential equation of one-dimension.The local trumcation error for the method is of order .

关 键 词：热传导方程 隐式差分格式 绝对稳定性 边值问题 

分 类 号：O241.82[理学—计算数学]