解四阶抛物型方程的高精度显式差分格式  

Explicit Difference Scheme of High Accuracy for Solving Four-Order Parabolic Equation

作　　者：张星[1] 单双荣[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2010年第6期703-705,共3页Journal of Huaqiao University(Natural Science)

基　　金：国务院侨办科研基金资助项目(04QZR09)

摘　　要：对四阶抛物型方程ut+uxxxx=0,构造一个新的三层显式差分格式,其稳定性条件和局部截断误差阶分别为r=τ/h4≤1/8和O(2τ+h6),其结果优于其他四阶抛物型方程的结果.数值例子表明,理论分析是正确的,该格式是有效的.In this paper,a three-level explicit difference scheme is proposed for solving four-order parabolic equation ut＋uxxxx=0.The scheme meets a stability condition of r=τ/h4≤1/8 and shows a local truncation error of O（τ2＋h6）.It is showed that the scheme is effective and the analysis of stability is right by a numerical example.

关 键 词：四阶抛物型方程 高精度 显式差分格式 稳定性 截断误差 

分 类 号：O241.82[理学—计算数学]