级数解 meaning in English
series solution
Examples
- Series solution of electric field intensity on perpendicular axis of elliptic charged ring
椭圆形带电环垂直轴上的电场强度级数解 - In this paper , by using the property of fourier series a compound series consisting of trigonometric series and power series is established
摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。 - The boundary value problems of singular perturbation with boundary layer at turning points are discussed . the asmptotic expansion are constructed . and the uniformly valid asmptolic estimation is obtained
主要讨论了在转点处出现边界层现象的奇异摄动边值问题，构造了形式级数解，得到了一致有效的渐近估计 - Ordinary differential equation , first order differential equations , 2nd order differential equations , power series solution of differential equation , laplace transform , fourier series and transform , matrix , eigen value problem , partial differential equation
常微分方程式、一阶微分方程式、二阶微分方程式、微分方程式级数解、拉氏转换、复利叶级数与转换、矩阵、本徵值问题、偏微分程式。 - Secondly , the effectiveness and limitation of the classical perturbation , such as the method of multiple scales and the poincare - lindstedt method , are discussed in detail through a duffing oscillator with delayed velocity feedback . it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders . an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution
其次，以一具有时滞速度反馈的duffing系统为例，研究了经典摄动法如多尺度法， poincar - lindstedt法等在求解时滞微分方程级数解时的适用性和局限性问题，指出利用这些方法只能有效求得系统的前两阶近似解，而在求系统的三次以上近似解时会出现矛盾或二义性。