一类k步k+2阶解刚性微分方程的混杂法  

A Class of k-step (k+2) Order Hybrid Methods for Solving Problems of Stiff ODEs

作　　者：李亮[1] 

机构地区：[1]武汉大学数学与计算机科学学院,武汉430072

出　　处：《武汉大学学报（自然科学版）》2000年第1期16-18,共3页Journal of Wuhan University(Natural Science Edition)

摘　　要：构造了一类带参数的ｋ步ｋ＋２阶混杂方法，讨论了该方法的稳定性质，并给出了与其等价的二阶导数方法．数值实例说明，这类方法更适合求解非线性Ｓｔｉｆｆ问题，对高震荡问题亦会更有效．In this paper,a class of k-step, (k+2)-st order hybrid method for solving problems of stiff ODEs is constructed and its stability properties are discussed. The methods are proved to be A-stable for k = 1, 2 and stiffly stable for k=4, ..., 8. In implementation by Newton iteration, our methods are more efficient for solving non-linear stiff problems. Finally, some numerical results are presented.

关 键 词：稳定性 微分方程 混杂法 二阶导数 

分 类 号：O241.81[理学—计算数学]