Based on the differential quadrature(DQ) method and the wavelet base function by introducing interpolation, a new differential equation boundary value problem solving method,i.e. the wavelet-DQ method was formed. The method was applicated to analyze the viscoelastic variable cross section rods of longitudinal vibration problems,then the problem characteristics equations were set up. Numerical results show that the method is of simple operation and high precision,and can be applied in the analysis of variable cross section rods viscoelasticity to longitudinal vibration problem.%在微分求积（DQ）法的基础之上，通过引入插值小波基函数，形成了新的微分方程边值问题的求解方法---小波-DQ法，并应用该方法分析了黏弹性变截面直杆的纵振动问题，建立了该问题的特征方程组，数值计算表明，该方法运算简单，计算精度高，能适用于分析变截面黏弹性直杆的纵向振动问题。
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