The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
Based on the method of solving heat balance differential equation, a novel over-load protection criterion for electric motor is presented in the paper considering the heat accumulation of motor.
以热保护为研究对象，充分考虑了电机的热积累现象，通过求解热平衡微分方程的方法，给出了新的电动机过载保护判据。
This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.
本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。
An effective method for solving a partial differential equation of secondary hydrocarbon migration is put forward.
本文给出了一种高效率求解油气二次运移偏微分方程的方法。
The results are same to those got by solving differential equation definite conditions problem.
这一结果与通过求解微分方程定解问题得到的结果是完全一致的。
The highly precise direct integration scheme is used for solving modal dynamic differential equation of the structure nd a dynamic load identification method by the modal responses is proposed.
采用无条件稳定的精细逐步积分法求解结构的模态动力学微分方程，构造了通过结构的模态响应反求荷载列阵的迭代算法。
This paper presents a numerical simulation algorithm based on numerically solving differential equation system by means of the Transmission Line Modeling (TLM) for lumped inductor.
应用集总电感元件的传输线建模方法(TLM)构造了一种基于数值求解微分方程的数字仿真算法。
The concrete solving process can be reduced to finding derivative, differential equation or integral.
具体求解方法可归结为求导数、求解微分方程或求积分。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
The effect of the shear deformation on the buckling load can be calculated by solving the differential equation for the buckling broblem.
剪切对轴压稳定临界载荷的影响，可用微分方程来解决。
Secondly, solving differential equation in LAPLACE transformation with MATLAB validates the acquired parameters.
用拉普拉斯变换用MATLAB求解二阶电路微分方程验证了得到的各元件参数。
The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.
结论的普遍性可以推广到数学力学学科，并给出了这一类三阶非线性微分方程求定性解的一般方法。
The mathematical deduction and confirmation of the algorithm are introduced in the paper, which is a powerfully effective one for solving the quaternion matrix differential equation.
为此给出了解四元数矩阵微分方程的一个强有力的算式，并给出了详细的数学推导和证明。
In solving partial differential equation (i. e. pricing model), the author adopted the finite difference method to get its numerical solution.
本文采用有限差分法求解偏微分方程(即定价模型)的数值解。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
This paper gives a general solution of differential equation for solving bending problem of rectangular plates on elastic foundations.
本文建立了弹性地基上的矩形板弯曲微分方程的一般解。
Method of leading variables is method of solving linear ordinary differential equation of first order.
常数变易法是作为求解一阶线性方程的解法给出的。
The result shows that it is effective for solving ordinary differential equation with variable coefficients.
结果表明，该方法对于求解各类变系数常微分方程是十分有效的。
A new Weighted Residual Method for solving Partial differential equation is presented in this paper.
本文提出一种求解偏微分方程的加权残数法。
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
This paper presents a novel algorithm for solving differential equation of distance protection which adopts an adaptive window length based on noise level control.
在研究传统解微分方程距离保护采用固定窗长的基础上，提出了一种基于噪声水平控制的变窗长算法。
By solving the differential equation groups to describe the train system, a series of simulation results about hunting motion stability, dynamic negotiation and ride comfort were worked out.
通过求解描述列车系统的运动微分方程组，得出了列车蛇行运动稳定性、动态曲线通过性能及运行平稳性等方面的一系列数值仿真结果。
Stochastic sand trajectories in wind-blown sand were obtained by solving the differential equation which describes the vertical fluctuating velocity of sand grains.
通过对描述沙粒垂向运动速度脉动分量的随机微分方程的直接求解，获得了风沙流中沙粒运动的随机轨迹。
It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
它提供了一步一步的技术，实用技巧，多练习，清晰，简明的例子来帮助读者提高差分方程的技巧，增强他们的测试成绩。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
In this paper, we present a circuit simulation algorithm based on the partial differential equation (PDE) model of MOSFETs, together with a fast algorithm for solving the PDE.
研究了基于MOSFET偏微分方程(PDE)模型的电路仿真算法，并提出一种求解pde的快速算法。
The numerical solution of wave propagation may be obtained by solving for the differential equation of medium motion.
通过求解介质运动做分方程，获得了波的传播问题数值解。
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
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