常微分方程的初值问题 meaning in English
initial value problem of ordinary differential equation
Examples
- The fem is a method of which transform the partial differential - coefficient equation ' s initial and boundary value issue to ordinary differential - coefficient equation ' s initial and boundary value problem ( after space disperse ) or a set of regular algebra equation
有限元法在数学上是将偏微分方程的初边值问题划归一组常微分方程的初值问题(在空间离散化之后)或一组规则代数方程。 - Abstract : in this paper , the authors study the initial value problems of a class of weakly nonlinear differential equation . the first and the second order approximate solutions are obtained . their accuracies are high and the more the approximate order is high , the more the accuracy is high . if the regular perturbation method is used to solve the same problems , then , when the independent variable is big , so is the error of the solution
文摘:用插值摄动法1研究一类弱非线性常微分方程的初值问题，得到了一级及二级近似解.解的精度很高，并逐级提高.如果用正则摄动法求解此类问题，则当自变量较大时，误差很大 - Because the questions of partial differential equations make green function method studied difficultly for student , the variation of parameters formula and ordinary differential equation are put forward . initial value of ordinary differential equation and the boundary value of ordinary differential equation are discussed . green function with time and green function without time are introduced and theirs equations and conditions are calculated
基于偏微分方程问题造成学生学习green函数方法的困难，我们以常微分方程为切入点，从学生熟悉的参数变动法解非齐次方程出发，讨论了非齐次常微分方程的初值问题和边值问题，引入含时green函数和与时间无关的green函数，得出它们应满足的方程与条件，分析这些green函数最一般的性质及物理含义，从而验证了通常green函数方法在数学上的合理性，在此基础上总结并规范了green函数方法解决问题的基本思想和步骤。