Explicit One-Step P-Stable Methods for Second Order Periodic Initial Value Problems  

作　　者：Qinghong Li Yongzhong Song 

机构地区：[1]School of Mathematics and Computer Science, Nanjing Normal University, Naniina 210097, China [2]Department of Mathematics, Chuzhou College, Chuzhou 239000, China.

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2006年第3期237-247,共11页

基　　金：The project is supported by NSF of Anhui Province(No.2005jk218), China.

摘　　要：In this paper, we present an explicit one-step method for solving periodic initial value problems of second order ordinary differential equations. The method is P-stable, and of first algebraic order and high phase-lag order. To improve the algebraic order, we give a composition second order scheme with the proposed method and its adjoint. We report some numerical results to illustrate the efficiency of our methods.In this paper, we present an explicit one-step method for solving periodic initial value problems of second order ordinary differential equations. The method is P-stable, and of first algebraic order and high phase-lag order. To improve the algebraic order, we give a composition second order scheme with the proposed method and its adjoint. We report some nuinerical results to illustrate the efficiency of our methods.

关 键 词：周期初值问题 周期间隔 P-稳定 相位滞后 

分 类 号：O17[理学—数学]