精确解

We can realize the special Abel equation integrability and accurate solution by computer.

实现了计算机对该类方程可积性及其精确解的自动判定。

And then obtain exact solution of the problem by using analytic method.

然后采用解析方法求解，得到了问题的精确解。

In order to test and verify validity of analytical methods and codes, we solve the Poisson equations and the Helmholtz equations that have analytical solutions with complex geometry using spectral element methods.

作为验证分析方法的正确性和代码的有效性，本文使用谱元方法求解了有精确解的简单区域和复杂区域的 Poisson方程和 HellnholtZ方程。

The Aharonov-Bohm scattering of relativistic particles with an anomalous magnetic moment is studied. Exact solutions are obtained. The effect of the anomalous magnetic moment on the scattering of polarized particles turns out to be rather unexpected.

五、研究了具有反常磁矩的相对论粒子的 Aharonov－Bohm 散射，求出了精确解，发现反常磁矩对极化散射的影响出人意料。

Two examples are used to show that such perturbative method can be a useful way to obtain the approximate solutions of the Fokker-Planck equation.

我们发现，当外加力场具有某些时间的形式时，应用微扰近似法来解Fokker-Planck方程式可以得到精确解，同样地，我们也用两个例子来说明微扰近似法的实用性。

From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are derived. The three-dimensional exact solutions of the displacement, electric potential, magnetic potential, stress, electric displacement and magnetic induction of equilibrium problems are also obtained.

由动力学的一般解，导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型；并得到了平衡问题的扇形板和扇形环板在两种边界条件下的位移、电势和磁势，应力、电位移和磁感应强度的三维精确解。

In experiments, the parameters of approximate and exact solutions were compared, and they tallied well.

实验结果表明，参数近似解与精确解相比较，结果吻合得很好。

The exact and approximate solutions are different in the magnitude and signs of A_4 as well as the variations with azimuths.

精确解与近似解的差异不仅表现在A_4值的大小及符号，而且表现在A_4随方位的变化特征。

In order to solve those problems, this article adopts the energy method to analyze the stability of the major frame of steel arch gate to make up the weakness in the current standards and found the calculating models of the stability of the whole major frame of the steel arch gate.

本文主要采用能量法对弧形钢闸门主框架线弹性稳定性进行分析与研究，建立单柱概化弧形钢闸门主框架整体稳定的计算模型，并通过选择合适试解函数，应用能量法给出特征值方程及弧门框架稳定性计算长度系数精确解的公式，提出一个基于该模型方便工程设计的实用计算公式。

Based on the thought of the Hyperbola Function Expansion Method, we obtained some analytical solutions of the modified Korteweg-de Vries equation by introducing new expansion functions.

基于双曲函数法的思想，通过选择新的展开函数，得到了modified Korteweg-de Vries 方程的几类精确解，其中一类为具有扭结——反扭结状结构的双扭结单孤子解。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。