A new numerical method, analytical discrete method, for solving ordinary differential equations is proposed.
提出求解常微分方程的一种新的数值方法——解析离散法。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
精细积分法是求解常微分方程的一种成熟的数值算法。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.
用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.
对高振荡微分方程给出一种好的数值解法是一件非常困难的事情。
It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.
对高振荡微分方程给出一种好的数值解法是一件非常困难的事情。
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