关键词: 二阶常微分方程;初值问题;单步格式;高精度

Abstract:

 A single step scheme for ordinary differential initi al problem of seco nd order, utt+au=f,u(0)=u 0,ut(0)=v0, is discussed, in which both  u  and ut are used as two unknowns and the ir computation is simpler. The stability and second order high accuracy for both  u and u t is proved. The scheme can be applied to hyperbolic problem.
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Key words: Ordinary differential equation of second order;Initial problem;Single step scheme;High accuracy