Using Van Kampen's normal mode expansion, we solve the initial value problem for a high-gain free-electron laser described by the three-dimensional Maxwell鈥揔limontovich equations. An expression of the radiation spectrum is given for the process of coherent amplification and self-amplified ...
A person on one side of a valley can not easily shout to a person on the other side 有许多深谷在海岛。 一个人在谷的一边在另一边不可能容易地呼喊对一个人 [translate] alution lution [translate] aDecathlon 十项运动 [translate] ahow did 怎么 [translate] asolution of initial value problem ...
The solution of the initial-value problemx^2y''+xy'+x^2y=0 y(0) = 1 y'(0)=0is called a Bessel function of order 0.Graph several Taylor polynomials until you reach one that looks like a good approximation to the Bessel function on the interval [-5,5]. 相关知识点: ...
The problem has been investigated on the interval [0,0.5]. We set m=1,l=0 and y0=0 in Eq. (23) to obtain an approximate solution of this problem. The results are presented in Fig. 1, Fig. 2. In Fig. 1 the exact and numerical solutions are shown. In this figure we choose the...
solve the initial value problem analytically.Support your solution by overlaying its graph on a slope fiel d of the differential cquation.$$ \frac { d ^ { 3 } t } { d t ^ { 3 } } = - \cos t ^ { \prime \prime } ( 0 ) = r ^ { \prime } ( 0 ) = r ( 0 ) = -...
However, numerical schemes do not always give accurate results, and we discuss the class of stiff differential equations, which present a more serious challenge to numerical analysts. In this paper, we derive in closed from, analytic solution of stiff nonlinear initial value problems, through ...
By adopting the GSLP basis and operational matrices of F-CD, the problem was reduced to the solution of a system of algebraic equations. The convergence analysis for the new algorithm was also carried out. Two numerical examples illustrate the ability and reliability of the algorithm. This ...
百度试题 结果1 题目solve the initial value problem analytically Support your solution by overlaying its graph on a slope field of the(1y)/(11)-(1,+1/4)^2⋅(1 - 相关知识点: 试题来源: 解析 =1/1⋅(-1/1-1/1) 反馈 收藏
Initial value problem solver — ode45, ode23, ode113, ode15s, ode23s, ode23t, ode23tb, ode15i Delay differential equations solver — dde23, ddesd, or ddensd Boundary value problem solver — bvp4c or bvp5c Example: sol = ode45(@myode,tspan,y0) Data Types: struct x— Evaluation points...
computers, numerical solutions to a scattering problem for which the ratio of the characteristic linear dimen- sion of the obstacle to the m-avelength is large still seem to be impractical. We shall show by an example that in the case of two dimensions, numerical solutions are practi...