利用“质点运动”的方法剖析微分方程和差分方程解的本质

Analyze the Nature of Solutions of the Differential Equation and the Difference Equation with the Physical Way of "Particles Movement"

本文利用物理学中“质点运动”的方法,形象地阐释了微分方程和差分方程之间的联系和区别,进而利用质点在空间形成的“解轨道”规律深刻揭示了微分方程和差分方程解的本质。

Utilizing the physical way of ＂particles movement＂, this essay gives out a visual discfiption of the relationship and distinguishness between a differential equation and a difference equation and utilizing the law of ＂solution orbits＂, opens out the nature of solutions of the differential equation and the difference equation.