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单词 Elliptic partial differential equation
释义

Elliptic partial differential equation

中文百科

椭圆型偏微分方程

椭圆型偏微分方程(英语:Elliptic partial differential equation)是一类二阶偏微分方程,形式为:

Au_{xx} + 2Bu_{xy} + Cu_{yy} + Du_x + Eu_y + F = 0\,

并满足

B^2 - AC < 0.\

(另有隐含条件 u_{xy}=u_{yx}. )

英语百科

Elliptic partial differential equation 椭圆型偏微分方程

Second order linear partial differential equations (PDEs) are classified as either elliptic, hyperbolic, or parabolic. Any second order linear PDE in two variables can be written in the form

where A, B, C, D, E, F, and G are functions of x and y. A PDE written in this form is elliptic if

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更新时间:2025/6/19 15:43:30