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

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.