The methods of research are numerical analysis and approximate analytic solution.
研究方法有数值法和近似解两种。
Based on the approximate analytic solution, the choked characteristics of flow in adiabatic capillary tubes are theoretically analyzed.
基于近似解，对绝热毛细管壅塞流动特性进行了理论分析。
In this paper, a formula of approximate analytic solution of subharmonic resonant overvoltage is established according to the theory of region analysis.
本文以区域分析理论为工具，提出分次谐波共振过电压的一个近似解析公式。
As an example, an approximate analytic solution of nonlinear vibration for a plate strip in lateral magnetic field is obtained by the multi-scale method.
作为具体问题，采用多尺度法求出了横向磁场中条形板非线性振动的近似解析解。
At the same time, the limitation of the approximate analytic solution is pointed out because the Poisson ratio of the film materials has strong effect on the results.
同时，指出了近似解析解的局限性，揭示了膜材料的泊松比对结果有较大影响。
Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.
最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。
The hydrogeological conditions are complicated there. An approximate analytic solution has been derived to estimate the future groundwater head on the first kind boundaries.
当地水文地质条件复杂，提出了在一类边界条件下预计未来水头的近似解析解。
With requirements of designing an adiabatic capillary tube in engineering, an approximate analytic solution to the tube length derived from the approximate integral model is developed.
为适应毛细管的工程设计要求，在绝热毛细管积分近似模型的基础上，提出壅塞流动下绝热毛细管长度的近似解析解。
A new algorithm derived from Chebyshev polynomials is presented for the approximate analytic solution of infinite-time linear-quadratic optimal feedback control law for time-delay systems.
给出了用切比雪夫多项式方法，求时滞系统的无穷时间线性二次型反鐀控制律的近似解析解的新方法。
The error between the numerical solution and the two-order approximate analytic solution is smaller than the error between the numerical solution and the one-order approximate analytic solution.
二阶近似解析解和数值解的误差比一阶近似解析解和数值解的误差小。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
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