1) arbitrary-order derivative
任意阶导数
1.
In order to give a physical model for arbitrary-order derivative and integral,the resistance-capacitance fractal circuit and the resistance-inductance fractal circuit with self-similarity are analyzed,respectively.
为了对任意阶导数和积分给出物理模型,分别分析了具有自相似性的电阻-电容分形电路和电阻-电感分形电路。
2) arbitrary relative orders
任意相对阶数
3) arbitrary even order accuracy
任意偶数阶精度
1.
The structure of the arbitrary even order accuracy difference scheme is the use of Taylor series expansion method in combination with the second-order and fourth-order partial differential equations themselves,with the increase in accuracy,difference scheme dependent network nodes will be increased,they are a two-level,explicit,and can be calculated from the difference scheme.
本文在差分格式的构造上主要是利用Taylor级数展开法并结合偏微分方程本身构造出二阶、四阶抛物型偏微分方程任意偶数阶精度的差分格式,随着精度的增加,格式所依赖的网格点将会有所增加,但都是两层的、显式的、可以自开始计算的差分格式。
4) arbitrary order of accuracy
任意阶
1.
A three-point explicit compact difference scheme with arbitrary order of accuracy for the two dimensional pollutant diffusion equation;
求解二维污染扩散方程的时空任意阶的三点紧致显格式
6) arbitrary order accuracy
任意阶精度
1.
Two-level and three-level exelicit difference schemes with arbitrary order accuracy O (△t~p+△x~(2q))(p,q-positive integer)for schrodinger equation u_l=iu_(xx)(i~2= -1) having periodic solution is established by the method of lines.
对具有周期解的Schrodingcr方程u_=iu_(xx)(i~2=-1),用线方法构造了任意阶精度O(Δt~p+△x~(2q))(p,q为自然数)的两层和三层显格式。
补充资料：任意
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