108
个编辑
更改
跳到导航
跳到搜索
第380行：
第380行： − + 第389行：
第389行： − 微分方程理论与差分方程理论密切相关，在差分方程理论中，坐标系只假定离散值，其关系涉及未知函数或函数的值以及坐标系附近的值。许多计算微分方程数值解或研究微分方程性质的方法涉及到用相应差分方程的解逼近微分方程的解。+ − −
→Connection to difference equations
==Connection to difference equations==
==Connection to difference equations==
与差分方程之间的联系
{{See also|Time scale calculus}}
{{See also|Time scale calculus}}
The theory of differential equations is closely related to the theory of difference equations, in which the coordinates assume only discrete values, and the relationship involves values of the unknown function or functions and values at nearby coordinates. Many methods to compute numerical solutions of differential equations or study the properties of differential equations involve the approximation of the solution of a differential equation by the solution of a corresponding difference equation.
The theory of differential equations is closely related to the theory of difference equations, in which the coordinates assume only discrete values, and the relationship involves values of the unknown function or functions and values at nearby coordinates. Many methods to compute numerical solutions of differential equations or study the properties of differential equations involve the approximation of the solution of a differential equation by the solution of a corresponding difference equation.
微分方程理论与差分方程理论密切相关，在差分方程理论中，坐标系只假定离散值，计算中会涉及到未知函数或已知函数的值以及坐标系附近的值。许多计算微分方程数值解或研究微分方程性质的方法都会涉及到通过相应差分方程的解来逼近微分方程的解这一过程。
==Applications==
==Applications==