提出求解常微分方程的一种新的数值方法——解析离散法。
A new numerical method, analytical discrete method, for solving ordinary differential equations is proposed.
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。
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.
本论文以延迟常微分方程和延迟偏微分方程为模型构造了一些数值方法,并对每一个数值方法都进行了理论分析。
In the paper, several numerical methods based on the models of delay differential equations and partial delay differential equations are constructed.
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