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中文摘要：
本文主要应用谱方法求解一类线性变系数变延迟微分方程，构造相应的数值方法，证明其收敛性，并给出两个具有代表性的数值算例．这些结果表明应用谱方法求解延迟微分方程可以获得谱收敛与谱精度的计算效果．
英文摘要：
This paper mainly studies the application spectral method algorithm for a class of linear variable delay differential equation with variable coefficient, gives corresponding numerical method, prove the convergence, and presents two representative numerical examples. These results show that application spectrum method for delay differential equations can obtain spectral convergence and spectral precision.
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