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1.
摘 要:通过对带电粒子在正交匀强电磁场中运动轨迹的求解,介绍了Maple在中学物理教学中的运用.并且利用Maple软件绘制了带电粒子在此正交场中的运动轨迹.  相似文献   

2.
结合数学软件Maple,通过求解微分方程分析带电粒子在匀强正交电磁场中的运动规律.  相似文献   

3.
先通过牛顿运动第二定律推出带电粒子在匀强电场和匀强磁场中运动的微分方程组,再利用数学软件Maple解出方程组的解析解,对解析解的进一步分析证明带电粒子在运动过程中加速度大小不变,最后通过Maple对解析解进行数值模拟,得到了带电粒子在复合场中的5种常见的运动轨迹.  相似文献   

4.
孟勇 《大学物理》2020,(1):38-44
物体的摆动是自然界最基本的运动形式之一,同时也是力学课程中的基础内容之一.在牛顿力学与拉格朗日力学原理指导下本文利用数学软件Maple强大的计算与图形制作功能对大角度单摆、双摆、有阻力情况下的傅科摆运动问题进行了分析计算,并制作其运动的仿真动画,以精确、生动、形象的动画反映摆球运动的物理规律,实现了可视化教学的目的.  相似文献   

5.
用三角级数和Maple软件求Burgers方程的精确解   总被引:2,自引:1,他引:1  
用三角级数试探求解Burgers方程,得到关于待定系数的非线性代数方程组,利用Maple软件求解此非线性代数方程组,进而求得Burgers方程的精确解.  相似文献   

6.
孟勇 《物理通报》2021,(4):102-107
针对数学软件Maple的四大功能分别将之用于中学物理教学过程中.在符号演算方面完成了对一道复杂的力学题的求解.同时通过该软件自带的程序编写功能制作了能反映出熵变的扩散现象的科技动画.此外,在电学部分结合该软件的图形动画功能,制作出由点电荷产生的静电场的交互式图形.最后,再根据波的叠加原理结合该软件的数值计算功能,计算出双缝干涉的光强分布.从而展现出将Maple软件用于中学物理教学的优势所在.  相似文献   

7.
吴波  杨秀德 《物理与工程》2010,20(1):32-34,39
利用Maple符号计算软件做RLC电路方程的拉普拉斯变换,得到电路的精确解,绘制解的图像,并且理论分析了这些解的特点,得到了一些有助于教学应用的结论.  相似文献   

8.
推广的投影Riccati方程法及其应用   总被引:9,自引:0,他引:9       下载免费PDF全文
雍雪林  张鸿庆 《物理学报》2005,54(6):2514-2519
将求非线性发展方程精确解的投影Riccati方程法给以推广,并借助符号计算软件Maple求出了Whitham-Broer-Kaup方程的新的精确解. 关键词: 投影Riccati方程法 Whitham-Broer-Kaup方程 孤波解  相似文献   

9.
曾文丽  马松华  任清褒 《物理学报》2012,61(11):110508-110508
借助 Maple 符号计算软件, 利用投射方程法和变量分离法, 得到了(2+1)维 Bogoyavlenskii-Schiff 系统的新显式精确解. 根据得到的孤波解, 构造出了该系统新颖的局域激发结构.  相似文献   

10.
以两简谐振动的合成为例,分别阐述了振动方向共线、垂直及成某一夹角三种情形下的合成情况,并画出合成后的轨迹图像及振动图像(所有图像都用Maple软件作图).  相似文献   

11.
In this paper,we give the general interaction solution to the(3+1)-dimensional Jimbo–Miwa equation.The general interaction solution contains the classical interaction solution.As an example,by using the generalized bilinear method and symbolic computation by using Maple software,novel interaction solutions under certain constraints of the(3+1)-dimensional Jimbo–Miwa equation are obtained.Via three-dimensional plots,contour plots and density plots with the help of Maple,the physical characteristics and structures of these waves are described very well.These solutions greatly enrich the exact solutions to the(3+1)-dimensional Jimbo–Miwa equation found in the existing literature.  相似文献   

12.
热传导方程是一种偏微分方程。对于有界热传导齐次方程的混合问题,用分离变量法求解往往很复杂,也很抽象。为了更好的理解方程的解,更直观的看出它的物理意义,本文用Maple软件将方程的解用图像表示出来。先用pdsolve函数求解方程,再用PlotSd函数进行绘图,通过改变边界条件,比较了图形的变化情况。从结果可以看出Manle软件对于热传导方程求解和绘图十分简便,也很直观。在物理教学中可以得到很好的应用。  相似文献   

13.
Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the ‘Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems are analysed effectively by using a Maple package LieSYMGRP proposed by us.  相似文献   

14.
During the last decade, the field of quantum computation has attracted a lot of interest and motivated many theoretical and experimental studies of n-qubit quantum systems. But apart from the promise of more efficient quantum algorithms, these investigations also revealed a number of obstacles which still have to be overcome in practice. In this context, the use of simulation programs has proved to be an appropriate method. In order to facilitate the simulation of n-qubit quantum systems, we present the Feynman software program to provide the necessary tools to define and to deal with quantum registers as well as the operators acting on them. Using an interactive design within the framework of the computer algebra system Maple, we hope that the Feynman software program will be useful not only for teaching the basic elements of quantum computing but also for studying their physical realization in the future. The text was submitted by the authors in English.  相似文献   

15.
An explicit solution of the Kepler equation is expressed in terms of the Lambert hyperfunction. Calculation of this function, for example, by making use of the Maple software package, enables one to efficiently obtain the numerical solution of the Kepler equation.  相似文献   

16.
The improved F-expansion method is a rising approach to obtain new and broad-spectrum exact solutions to the nonlinear evolution equations in the field nonlinear sciences. In this study, the influential F-expansion method is used to extract the analytical solutions of the nonlinear Klein–Gordon equation with the aid of symbolic computation software Maple. We successfully establish the solutions in the form of hyperbolic, trigonometric and rational function structure. The derived solutions could be imperious and significant for narrating the physical phenomena in the real-world. For suitable values of the parameter involved in the solutions, we depict the 2D and 3D graphs of some obtained exact solutions.  相似文献   

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