The nonlinear resonant and non-resonant periodic solutions are obtained by the small parameter methods.
然后用小参数法求出了非线性的非共振周期解和共振周期解。
The small parameter perturbation approximation is applied quite often in applied mathematics and mechanics.
应用数学与力学经常使用小参数摄动近似。
Secondly, a technique of numerical order verification was applied to verify that the asymptotic solutions were uniformly valid for small parameter.
其次，一种数值阶验证技术证实求得的二阶渐近解对小参数都是一致有效的。
By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.
我们利用问题的渐近解证明了差分格式关于小参数的一致收敛性。
The second order perturbation solution for the flow of power-law fluid in stillness a helical pipe is obtained with curvature and torsion as small parameter.
以曲率和挠率为小参数得到螺旋管道内幂律流体流动的二阶摄动解。
By using the method of small parameter expansions the present boundary-value problem is solved. Thus the formula in the second approximation for the stress field is obtained.
本文运用小参数展开法求解了这一大变形问题，获得应力场的二级近似公式。
This paper studies the necessary and sufficient condition of uniformly convergent difference scheme for the elliptic-parabolic partial differential equation with a small parameter.
本文研究小参数椭圆-抛物偏微分方程一致收敛差分格式的充要条件。
The method of small parameter and setting up model of dumbbells are used to calculate the gravitational radiation of Double Satellite, and the expression of quadrupole radiation power is obtained.
采用小参数展开法和哑铃型模型法计算双星的引力辐射，并导出熟知的四极引力辐射功率表达式，数值计算所得的结果与天文观测的两级相自洽，且比其它的计算方法简便。
The method of small parameter and setting up model of dumbbells are used to calculate the gravitational radiation of Double Satellite, and the expression of quadrupole radiation power is obtained.
采用小参数展开法和哑铃型模型法计算双星的引力辐射，并导出熟知的四极引力辐射功率表达式，数值计算所得的结果与天文观测的两级相自洽，且比其它的计算方法简便。
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