数值求解常微分方程的五阶广义三步法  

The Extended Three-step Method of Five Order for the Numerical Solution of the Ordinary Differential Equations

作　　者：田天海[1] 刘早清[2] 

机构地区：[1]湖北工学院基础课部 [2]同济医科大学

出　　处：《湖北工学院学报》1996年第2期28-33,共6页

摘　　要：给出了一个求解常微分方程初值问题的五阶广义三步法,并证明了该算法是 A_u 稳定的,数值例子表明该算法优于现有的某些五阶算法.An extended three-step method of fine order for the numerical solution of the differential equations is derived and proved to be A_0-stable in this paper.The new method is combined with a four order prediction method and a five order cor- rection method.It is shown that the new method is superior to certain existing five order methods from the numerical examples.

关 键 词：常微分方程 广义三步法 稳定性 初值问题 数值解 

分 类 号：O241.81[理学—计算数学]