本文成果跟精确解是良好吻合的。
The solutions of this paper almost agree with the exact solutions.
该方程组有精确解，得到了流线方程。
The equation set has exact solutions and obtained the streamline equation.
然后采用解析方法求解，得到了问题的精确解。
And then obtain exact solution of the problem by using analytic method.
斜拉索由于其几何非线性，其精确解尚未解决。
Due to geometric nonlinearity, the precise solution to stayed cables remains unsolved.
应用该精确解可计算油层重要参数——表皮系数。
The exact solution is used in calculating skin factor, one of formation parameters.
爱因斯坦在1955年去世，没有看到自己著名理论的精确解。
Einstein passed away in 1955, without ever seeing an exact solution to his famous theory.
通过广义条件对称方法得到了其对称约化和精确解。
Its symmetry reduction and exact solutions are obtained through the generalized conditional symmetry approach.
用这种等效方法可以求解抛物线型非均匀线的精确解。
By this way, the exact solutions of parabolic lossless nonuniform transmission line can be gained.
本文以叠加法提供在弹性地基上的自由矩形板的精确解。
This paper presents an exact solution for a free rectangular plate on elastic foundation by the method of superposition.
文中也给出了刚性半球嵌在弹性半空间的扭转的精确解。
The exact solution of torsion of rigid half sphere embedded in an elastic half space is also presented.
广义条件对称；精确解；非线性反应扩散方程；对称群。
The generalized conditional symmetry; Exact solutions; The nonlinear reaction diffusion equations; symmetry group.
其结果与有限元精确解的一致性表明文中方法是可靠的。
The coherence between the computing results with the finite element solution shows the method in the paper is reliable.
应用第一类完全椭圆积分求出了非线性振动周期的精确解。
The exact solution of the period is got by using the first kind of complete elliptic integral.
本文研究在双光子场作用下二能级原子时间行为的精确解。
The exact solution of time behaviour of the two-level atom interacted with two-photon field is obtained.
的阶梯式增长服从一个精确的隙距方程，该方程有精确解。
Thestaircase-like increasing off(s) obeys an exact differential gap equation, which can be solved analytically.
这些精确解为实验，数值以及渐近解的检验提供了借鉴和参考。
The exact solutions are analytical physical solutions and can be served as accuracy checks for experimental, numerical and asymptotic methods.
反之，用数值解来分析精确解的完整性也是一种有意义的方法。
It is an important method that the exact solutions of the heat conduction equations test the correctness of the numerical solutions.
使用改进后的方法，既可节约工作量又可一获得唯一的精确解。
Using the new methods, you can not only save time, but also obtain unique and precise solutions.
本文采用逆方法研究并获得了应力偶流体的定常和非定常精确解。
By using inverse method, the analytical solutions of couple stress fluids were obtained for steady and unsteady cases.
通过相图中的各种轨道，获得了孤立波，扭子波和周期波的精确解。
By the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained.
利用复数振型叠加法，这种求解方法能够得出结构动力响应的精确解。
The proposed approach can offer an exact solution for dynamic response of base-isolated structure, through using the complex mode superposition method.
用EXCEL解方程可以大大减轻手工求解的计算量，并可得到精确解。
Solving equation with EXCELL can decrease manual computation work and you can obtain the accurate solution.
本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。
The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
重正化群方法已成为获得这类问题精确解的一致有效渐近展开式的有用工具。
Renormalization group method is an effective tool to obtain the uniformly valid asymptotic expansion exact solutions of this kind of problems.
利用二维有限积分变换的方法推导出了四边固支矩形厚板位移和内力的精确解。
The exact solutions of displacement and inner force for clamped rectangular thick plate were deduced with two-dimension finite integral transform method.
而对位移谐振子，用级数方法无法得到精确解，也可用本方法求得精确显式解。
For displacement resonator, although exact solution can't be obtained by using series method, yet it can be obtained through this method.
本文用解析法和有限元法分析了连续多支承压杆的稳定性及其近似解与精确解。
This paper analyzes the stability of continuous and multi-support compressed pillars using analysing method and finite element method.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
认为电场中带电谐振子用定态微扰的方法不仅可以求近似解，也可找到其精确解。
Point that we not only find the approximate solution by using the perturbation method, but also can find the precise solution.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
应用推荐