I now would like to write down, in most general form the equation for the position and the velocity as a function of time for a one-dimensional motion whereby the acceleration is constant.
我来把更一般的形式，写出来吧，在一维空间中，位置和速度，作为时间函数的，一般形式，这里的加速度是一个常数。
At the same time, based on the result, it is concluded that the upwind finite difference scheme for solving the one dimensional heat transfer equation for SG is stable.
同时，根据这个结果分析得到了求解蒸汽发生器一维传热方程的逆风有限差分格式是稳定的。
First, the neutron diffusion equation is converted to three coupled one dimensional partial flux equation through transverse integration.
首先通过横向积分将中子扩散方程化为三个互相耦合的一维偏通量方程。
One dimensional overpotential distribution equation along the direction of the bed thickness is formulated.
建立了固定床内超电位沿床层厚度方向的一维分布方程。
The ionization of one dimensional model atoms in ultra intense laser fields has been studied by solving time dependent Schrdinger equation using the least square fitting and the Runge Kutta methods.
利用最小二乘法和龙格库塔方法求解含时薛定谔方程，研究了一维原子模型在超强激光场中的电离。
The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.
一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。
This model is based on a one - dimensional heat conduction equation, an equilibrium press- temperature relation, energy and mass conservation relations.
喷墨过程的数值建模是建立在一维热传导公式，温度-压强关系式和能量、物质转换关系的平衡的基础上的。
Taking one-dimensional diffusing equation as the object of study, a method of undetermined coefficients was given. Then gave two examples and analyzed their stability and truncation error.
针对一维扩散方程，给出一种新型差分格式的待定系数法，并以两种新型差分格式为例进行稳定性和截断误差分析。
The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term, reaction, diffusion and convection.
讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。
In this paper, moment method is used to deal with the first boundary value problem of one dimensional wave equation with stochastic initial and boundary conditions.
本文使用矩方法处理了具有随机初始条件的一维波动方程的第一边值问题。
Using the theory of wave propagation, one-dimensional wave equation and inverse problem of damaged medium was established and analyzed.
利用波传播理论，建立损伤介质的一维波动方程及反问题分析理论。
An diffusion Synthetic acceleration equation and differencing scheme (DSA) for the diamond scheme of the one-dimensional sphere geometry steady neutron transport equation is introduced in this report.
本文导出了一维球几何定态中子输运方程菱形格式的扩散综合加速方程，并给出了差分公式。
This paper is to study how the lengths of foundation piles influencing driven piles by one dimensional wave equation.
应用一维波波动方程式探讨基桩长度对打击桩的影响。
The slip coefficient B is introduced in momentum equation of one dimensional nucleating flow.
本文在一元蒸汽凝结流动量方程中引入了滑移系数B，考虑两相滑移的影响。
An improved one dimensional heat transfer equation of the rectangular longitudinal fin with uniform section and its modified approximate solution are proposed.
本文推出了等截面矩形直肋的一维修正传热方程及修正近似解。
Kinematic equation of one-dimensional isoentropic nonsteady air was used to calculate system parameters for reference of design and experiment.
文中利用一维等熵非定常气体的运动方程计算系统的各参数，并把所得参数作为设计和试验的参考数据。
The application of the steady-state equation in one-dimensional transport processes of gas is discussed and the physical meaning of the equation is analyzed.
分析讨论了气体输运过程的稳定态方程的物理内涵，以及在气体一维输运过程中的应用方法。
Based on this model, the one-dimensional energy conservation equation with a special term of inner heat source is applied to solve the temperature profile.
根据此模型，应用带有特殊内热源项的一维能量守恒方程求解了温度场。
This paper presents a generalization of one-dimensional S-G formulation for three-dimensional current continuity equation.
本文提出了一种将一维S-G格式应用于三维电流连续性方程的方法。
The finite difference method is used to create the basic equation of one dimensional consolidation of layered ground considering construction loads.
采用变空间步长的有限差分法，求解了多层地基考虑施工期加荷过程的一维固结问题。
Based on the theory of variational inequality, a direct solution method of one-dimensional problem is developed which efficiently solves the Reynolds equation.
基于变分不等方程理论，雷诺方程采用一维直接解法求解。
In this paper, the transistor one dimensional DC current-voltage equation which is indicated as circuit parameters is derived.
本文推导了用电路参数表示的晶体管一维直流电流—电压方程。
This model is developed based on the one-dimensional SMA constitutive equation and multi-cell model, and considers the influence of transverse shear deformation of the hybrid composite beam.
采用多胞模型、形状记忆合金一维本构关系分析方法，同时考虑横向剪切的影响，建立了层合梁的数学模型。
The master equation approach to molecular motor's directed motion based on periodic one-dimensional three-state hopping model is studied.
利用主方程的方法，研究了在一维三态周期跳跃模型下分子马达的定向运动。
One-dimensional general model of land subsidence due to pumping is deduced and a semi-analytical method is used to solve this deviatoric differential equation.
推导了以垂向有效应力为基本变量的一维地面沉降的普遍模型，并用半解析方法予以求解。
In this paper, an one-dimensional fractional percolation equation with variable coefficients is considered.
考虑一个含有变系数的一维分数阶渗透方程。
The diffusion equation was discretized using a local one-dimensional finite difference equation and solved using the speedup method.
扩散方程采用隐式局部一维格式差分离散，利用追赶法求解；
The research on multi-dimensional conservation laws is one of the most challenging direction in the field of nonlinear partial differential equation, it is very important and very difficult.
高维守恒律方程的研究是非线性偏微分方程的最具有挑战性的方向之一。
Transition to the three-dimensional space, then we obtain the equation of equipotential surface families of charged conductor with surface of hyperboloid of one sheet.
利用保角变换，首先在二维平面得到双曲线型的等位线簇方程，然后过渡到三维空间，从而得到表面为单叶双曲面（两实半轴相等）的带电导体的等位面簇方程。
Transition to the three-dimensional space, then we obtain the equation of equipotential surface families of charged conductor with surface of hyperboloid of one sheet.
利用保角变换，首先在二维平面得到双曲线型的等位线簇方程，然后过渡到三维空间，从而得到表面为单叶双曲面（两实半轴相等）的带电导体的等位面簇方程。
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