查询词典 difference equation

Chapter 2: At first, the nonlinear Schrodinger equation is deduced from maxwell's equation.

第二章，首先从麦克斯维方程组出发，推导了光脉冲在单模光纤中满足的非线性薛定谔方程。

The governing equation is the mild-slope equation. Finite element method has advantage to treat complicated boundary. The second order radiation boundary condition is expanded to improve the wave model for large incident wave angles. The validity of the second order radiation condition is examined through varying arbitrary wave incident angles.

模式将以包含波浪绕射及反射之缓坡方程式建立数值模式，利用有限元素法易於处理不规则边界的优点，引用二阶近似辐射边界条件，扩展波场模式处理大角度波浪入射的能力，探讨在未碎波的情形下，二阶辐射边界条件对於任意角度波浪入射之适用情形。

Avoiding the complex and precise discussion,this article,for a type of elemental heat equation,is going to give a convenient method of solving heat equation by separation of variables and to expand the range of solvable problems with the help of Fourier series.

本文避开微分方程定性理论的复杂、严谨讨论，想就一类最基本的热传导方程，通过分离变量的方法将偏微分方程的边值问题转化为常微分方程的边值问题，给出一种较简捷的定解模式，并利用Fourier级数，将解题范围加以推广。

Heat conduction equation ; Galerkin boundary element method ; Indirect boundary integral equation ; Simple layer potential2000 MSC:35F99; 35K05; 80M15

热传导方程； Galerkin边界元法；间接边界积分方程；单层位势

Numerical results also show that the inverse problem with Cauchy data is better to formulate by the singular integral equation than by the hypersingular integral equation for the constant element scheme.

由数值的经验，我们也发现对於柯西资料反算问题，在使用常元素时，最好采用奇异积分方程式会有比较准确的结果。

By combinatory counting process to enumerate data of work condition of each generators, thus makes sure the searching and solver in optimal condition.3. Set up the power equilibrium equation and flow equilibrium equation according to the slack variable. It is not necessary to adjust the optimization any more and guarantee the optimal precision of the solution.4. Digitalize the composite characteristic curve, such as the digital input and accurate extraction of data during the performing.The above mentioned is an expanding for optimal performing of hydropower station in theory. It has good engineering applicability.

在水轮机专业领域和水电站运行领域主要成果是：(1)用人工智能的方法解决了水电站机组间负荷动态最优调度问题，且用数学方法严格证明了解的最优性；(2)用组合计数对并联机组的每个组合工况进行无遗漏枚举，从而保证搜索策略的作用范围和解的最优性；(3)利用松弛变量建立了功率平衡方程和流量平衡方程，使优化结果不再需要二次调节，保证了解的优化精度；(4)综合特性曲线的数字化，包括曲线的数字化输入和在程序运行过程中对曲线信息的精确提取。

The Schrodinger equation is widely used in the atomic physics, nuclear physics and the solid-state physics, regarding the atom, the member, the nucleus, the solid and so on,This equation is used very well.

薛定谔方程广泛地用于原子物理、核物理和固体物理，对于原子、分子、核、固体等一系列问题中求解的结果都与实际符合得很好。

If you apply this method to solve problem, most of mechanism synthesis problem will turn into one problem, that is to solve the equation set. The most difficult point is get full solution of the equation set, thus it can provide a wider range for optimized project.

用解方程组法进行机构综合时，大多数机构综合的问题都可以转化为求解非线性方程组的问题，而其难点在于求出非线性方程组的完全解，以便为优选方案提供较大的解空间。

The numerical solution of this kind of partial differential equation by the Boundary Element Method has been unable to be considered for the reason that the basic solution of this equation set has not been found.

由于至今尚未求得此方程组的基本解而无法考虑用边界元法对该种气体流动进行数值求解。

Mode field equation set is derived from boundary conditions. The solution of the equation set is obtained by means of reflection transmittance coefficient matrix algorithm.

由边界条件，推导出模式场方程组；借助反射透射系数阵递推算法，得出了方程组的解。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。