David Canright
Hu, M. S., et al., Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String, Abstract and Applied Analysis, 2012, ID 567401, pp. 1-15Hu MS, Agarwal RP, Yang XJ (2012) Local fractional Fourier series with application to wave equation in fractal ...
Recall the linear property,which allows us to construct more solutions by taking linear combinations of the standing waves u_{m} ,then we guess(ultimate goal):u(x,t)=\sum_{m=1}^{\infty}(A_{m}cos\ mt+B_{m}sin\ mt)sin \ mx gives all solutions of the wave equation,so the quest...
Creating a square wave from a series of sine waves (4.53)f(t)=sinωt+1nsin(nωt),n=1,3,5,7,…,∞ The first term on the right side of Equation 4.53 is called the fundamental frequency. Each value of n is a harmonic of the fundamental frequency. Looking at Figure 4.13, we can...
Fourier Series: Square Wave Fourier Series: Square WaveAuthor: Alain Goriely 2 Download This Application runs in Maple. Don't have Maple? No problem! Try Maple free for 15 days! This section illustrates Section 10.2 in Kreyszig 's book (8th ed.) Application Details Publish Date: June ...
Global Wave Patterns in the Sun's Magnetic Field When the observed pattern of solar magnetic fields is decomposed in its spherical-harmonic components and a time series analysis is performed, a resonant g... JO Stenflo - 《Astrophysics & Space Science》 被引量: 45发表: 1988年 ...
Trigonometric series arose in problems connected with astronomy in the 1750s, and were tackled by Euler and others. In a different context, they arose in connection with a vibrating string (e.g. a violin string) and solutions of the wave equation. ...
Fourier Series Lecture 1:傅立叶系列讲座1.ppt 上传人:marry201208 2018/5/11 文件大小:4.33 MB 下载得到文件列表 Fourier Series Lecture 1:傅立叶系列讲座1.ppt 相关文档 文档介绍文档介绍:Blue bookNew chapter 12Fourier sine series Application to the wave equationFourier cosine seriesFourier full range plex...
In this paper, by using Fourier series, the analytical solution of an inhomogeneous wave equation with initial conditions is given. An example is provided to illustrate our result.%对于非齐次波动方程和非齐次初始条件的定解问题,利用Fourier级数法可给出其形式解的解析表达式.实例展示相关结果在求解一个具...
Learn the definition of Fourier series and browse a collection of 750 enlightening community discussions around the topic.