Part I, the artificial boundary condition and its numerical methods based on natural boundary reduction for hyperbolic initial boundary value problems on unbounded domains is studied.
第一部分，研究无界外区域双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。
This paper discusses initial boundary value problem (1) - (3). Under somewhat more general condition, the uniform boundness of the solutions is demonstrated and the decay estimate is obtained.
本文讨论始边值问题(1)—(3)，在一般条件下，证明解一致有界，并得出衰减估计。
Finally, the boundary condition and initial value are used to solve the linear equations so as to obtain the corresponding results.
最后，利用边界条件和初值条件求解线性方程组，得出相应结果。
Finally, the boundary condition and initial value are used to solve the linear equations so as to obtain the corresponding results.
最后，利用边界条件和初值条件求解线性方程组，得出相应结果。
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