求解一阶常微分方程的五阶Adams格式  

On finding the solution of ordinary differential equation in five order Adams format

作　　者：李猛[1] 陈慧文[1] 张宗标[1] 

机构地区：[1]亳州师范高等专科学校理化系,安徽亳州236800

出　　处：《韶关学院学报》2013年第12期14-17,共4页Journal of Shaoguan University

基　　金：安徽省教育厅自然科学基金项目(KJ2013Z217;KJ2013Z218);亳州师专重点课程项目(BZSZKYXM201301);亳州师专科研项目(2012yc12)

摘　　要：讨论了一阶常微分方程初值问题五阶Adams显示公式以及隐式公式,同时,由于隐式公式较显示公式相比局部截断误差以及系数的绝对值之和较小,因此给出了五阶Adams预测-校正系统.In discussing the solution of ordinary differential equations, there are methods of some typical equation analytic solution. However, the actual production and scientific research problems are often complex. In many eases, the analytical expression of the solution can not be given. Sometimes the problem is not so easy to solve due to the large amount of data, although they already have the typical method. In practical problems, for solving differential equations, it generally only requires the solution obtained at several points on the approximate solution or approximate expressions for solution. This paper discussed the first order ordinary differential equation initial value problem of five order Adams formula in display and implicit formula, At the same time, because the implicit formula has the smaller local truncation error and the coefficient, this paper presented the five order Adams t3redictor eorrector system.

关 键 词：Adams显式公式 隐式公式 误差估计 预测-校正系统 

分 类 号：O175.1[理学—数学]