高阶抛物型方程的两层隐式差分格式  

ATwo-Layer Implicit Difference Schemes for Solving Parabolic Equation of Higher Oder

作　　者：曾文平[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《漳州师范学院学报（自然科学版）》2004年第3期1-5,共5页Journal of ZhangZhou Teachers College（Natural Science)

摘　　要：本文构造出解高阶抛物型方程=(?1)m+12?t?x2m(m为正整数)的局部截断误差阶为o(τ+h4)的两层隐式差分格式,并证明了当m=1,2,3是它是绝对稳定的.数值例子表明本文所提格式是有效的,理论分析是正确的.For Solving high order parabolic equation = (?1)m+1 ?t (where m is positive inerger), the author advances a ?x2m two-layer implicit difference scheme with order of local truncation error o(τ + h4) , and when m = 1, 2, 3 , the scheme is proved to 2 be absolutely stable. They are shown by numerical examples to be effective, and theoretical analysis is right.

关 键 词：抛物型方程 隐式差分格式 高阶 局部截断误差 绝对稳定 正整数 正确 证明 数值 构造 

分 类 号：O241[理学—计算数学] O175.26[理学—数学]