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Using the numerical differentiation, the differential equations can be transformed into algebraic equations. Then we can get the numerical solution from the algebraic equations.

但是数值微分对误差非常敏感,因此我们想到用对误差不敏感的数值积分代替数值微分

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法,并匹配以适当数值求积公式,构造了求解时滞积分微分方程的Rosenbrock方法,导出了其稳定性准则。

This course presents some of the basic ideas and methods in the studying of ODE and their applications.

同时,本课程也为后续课程(如微分几何、偏微分方程等)的学习做好准备。

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要:在本项目中,重点研究了几种类型的微分方程解的增长性,及无穷级解的超级,零点收敛指数,不动点收敛指数,特别是解的一阶,二阶导数及微分多项式的不动点收敛指数。

Which is one of the most important in the research of ordinary differential equation.

微分方程解的有界性问题最早是在研究生物学,生态学,生理学,物理学,神经网络等问题中提出的,是常微分方程研究中一个十分重要的领域。

The differential equation is the most vitality branch in mathematics. In many domains of natural science, we can meet the ordinary differential equation solution question.

摘要微分方程是最有生命力的数学分支,在自然科学的许多领域中,都会遇到常微分方程的求解问题。

The course content includes ordinary differential equation, linear algebra, vector calculus, Fourier analysis and partial differencial equation partial differential equation, with the aim to train students in establishing an exact perception to the meaning of theory, calculation and experimentation.

课程内容有常微分方程,线性代数,向量微积分,Fourier 分析及偏微分方程式等章节,训练同学在理论,计算及实验间建立正确的认知及意义。

Partial and total differentials, Vector analysis, Orthogonal curvilinear coordinates, Matrices and

基础物理数学( S0043)(0,3)/基础应用数学( S0249)(0,3)偏微及全微分(1)、向量分析(7)、正交曲线座标系(3)、矩阵及本徵值问题(4)、常系数全微分方程式(1)。

The oscillation theory of differential equation is one of important branchof differential equations.

微分方程的振动性理论是微分方程理论中一个十分重要的分支,它具有非常深刻的物理背景和数学模型。

In this paper, we first study the existence of positive solution and oscillation of neutral differential equation with...

第一章多滞量中立型时滞微分系统的正解存在性及振动性在这一章中,我们讨论中立型时滞微分方程

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