查询词典 ordinary differential equation

Which consists of three ordinary differential equations and one algebraic constraint equation.

最后对一个实例作了数值分析，其计算结果与实验数据得到了较好的符合。

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

On each subspace the Dirac equation is equivalent to a two dimensional system of ordinary differential equations of first order.

在每一个子空间中狄拉克方程等效为一阶线性微分方程组的两个空间系统。

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

The orthogonality of the modal functions is employed to decouple the governing equation into a set of infinite ordinary differential equations that are independent of each other.

将梁的控制方程写作状态变量的形式，然后利用复模态的正交性可解耦为无穷多个彼此独立的常微分方程组。

The propagation matrix method used widely in stratified media is extended to laterally inho-mogeneous media,and a numerical method known as generalized propagation matrix method for simulating elastic seismic wave propagation in inhomogeneous media is presented by using mixed variable elastic wave equation and matrix exponent solution of system of linear ordinary differential equations.

应用混合变量弹性动力学方程和线性常微分方程组的矩阵指数解法，将层状介质中广泛应用的弹性波传播矩阵解法推广至横向非均匀介质，给出了一种可计算复杂地质体中弹性波传播的广义传播矩阵数值解法。

According to the model reduction strategy, the reduced-order model is composed of 17 ordinary differential equations, one algebraic equation, and 52 parameters.

仿真结果表明，简化模型能够准确地预测系统的动态特性，为模型分析和参数辨识提供方便，验证了模型简化策略的有效性。

The general model, including axial dispersion flow for the bulk fluid phase, diffusion equation described by Fick law for the particle phase and the equilibrium concentration given by a modified competitive Langmuir isotherm, was presented and discretized with Galerkin and orthogonal collocation into a series of ordinary differential equations.

为考察孔内扩散对模拟移动床分离过程的作用，采用综合速率模型对其进行研究，其中流动相模型为轴向扩散活塞流，颗粒相为Fick定律描述的扩散方程，液相和固相之间的吸附平衡采用改进的Langmuir吸附等温线。

The governing equation is further reduced into an ordinary nonlinear differential equation by Galerkin's method.

利用Galerkin方法将其转化为非线性振动方程。

With the aid of the solution matrix of Lax equation satisfied by the eigenfunctions, elliptic variables are introduced suitably, which give a direct relation between the soliton equation and the resulting compatible ordinary differential equations.

文中发展了一个分离技术，由此可将连续的和离散的2+1维孤子方程分解为相容的常微分方程或相容的常微分方程和离散流的演化。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。