常微分方程初值问题RK法和多步法  

RK Method and Multi-step Method for IVP of ODE

作　　者：孙维夫[1] 姜云义[1] 

机构地区：[1]烟台职业学院信息工程系,山东烟台264670

出　　处：《烟台职业学院学报》2010年第2期84-88,共5页Journal of Yantai Vocational College

摘　　要：常微分方程的差分方法分为单步法和多步法。RK方法是最常用的单步法,而Adams方法是常用的多步法之一。本文探讨了求解常微分方程初值问题单步法和多步法,从运算量、计算精度两个方面分析和比较了同阶RK法和多步法。The different method for ODE includes single-step method and multi-step method.RK method is the most common single-step method,while Adams Method is one of those commonly used multi-steps.This essay discusses the single-step method and multi-step method for solving IVP of ODE and analyzes and compares RK method and multi-step method of the same stage from the two aspects of computational complexity and accuracy.

关 键 词：RK法 多步法 运算量 精度 

分 类 号：O214.81[理学—概率论与数理统计]