查询词典 exact solution

In this paper,on the basis of the exact solutions for the antiplane and plane symmetric cases,the exact solution of the plane anti-symmetric case has been obtained.

在反平面及平面对称情形的精确解的基础上严格地求出了平面界面横向裂纹反对称问题的精确解。

Following which, we give the error estimates between the approximate solution and the exact solution.

接着，我们又给出了方程近似解与精确解之间的误差估计。

Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统；精确解；近似解；孤立波； Riccati方程方法；图灵机；可计算函数

Mainly, we deriver time-accurate wavelet-based schemes for convection equation ,furthermore, we use it for numerical solution of convection equation and make a comparison with exact solution and solution derived from WGM.

主要的，对于对流方程，推导出了时间精度高的基于正交小波基的小波泰勒伽略金格式，进一步用这个格式计算了对流方程的数值解，并和WGM格式得到的数值解以及精确解作了比较，从而验证了格式的正确性。

AbstractPaper introduces the exponential function and homogeneous balance method for solving nonlinear partial differential of the exact solution, and then comparing the reference solution, and ultimately new exact traveling wave solution.

摘要论文主要介绍指数函数法和齐次平衡法求解非线性偏微分的精确解，然后对比参考文献的解，最终得到新的精确行波解。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章，给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间，利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性，给出了准确解与边界元解的误差表达式，还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性，为三维弹塑性摩擦接触边界元法奠定数学基础。

The structure of exact solution set of multi pantograph delay differential equation is studied and existence and uniqueness of an exact solution is proved.

研究了多比例延迟微分方程y=ay+by(q1t)+cy(q2t)的精确解的结构，探讨了初值问题解的唯一性和存在性。

Especially for kw_0≥30, the results coincide with each other verywell. By expanding the exact solution, it can be seen clearly that the zeroth order term is just the paraxial one, so the paraxial approximation field is good enough to replace the exact field when the beam width is large to some extent.

结果表明对于腰宽仅有几倍波长的强聚焦高斯光束，低相速度区仍然存在，并且低相速度区分布的规律与近轴近似场结果在本质上是一致的。

The construction of the solution space for shallow-water equations on the equatorialβ?plane and the equations about the tropical circulation to heating are mainly studied. The solution method of exact solution in the analytic function class and the computational procedure to the series solution are expressed for the well-posed problem.

平面近似的浅水方程组和热源强迫的热带环流方程组，重点研究了它们的解空间构造，并给出了各种适定的定解问题在解析函数类空间中准确解的具体的求解方法，并编制程序去计算其级数解。

By employing the transformations of variables and functions, the exact bright soliton solution on a continuous-wave background is obtained in quadratures, and is discussed in detail. From the behavior of the exact solution in exponential control fiber system, the conclusion can be obtained that soliton in a proper fiber system can be compressed or broadened.

通过变量和函数变换得到方程的精确解为连续波背景下的亮孤子解，并对精确解在不同情况下的具体行为作了详细讨论，以指数分布控制系统为例说明：当选择适当的光纤控制参数时，孤子可以被压缩/展宽。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。