Discrete Poisson equation
The discrete Poisson equation is a way of describing how physical systems and objects change over time. In an equation, it looks like this:
(d2u/dx2 + d2u/dy2) = F(x,y)
This equation tells us how a particular physical property (like temperature or speed) changes at any given point in space (x and y). It also tells us what happens when we look at changes over time, like when a bubble rises in a bathtub.
In the equation, u is the physical property we are looking at (like temperature). The d2u/dx2 and d2u/dy2 parts tell us how the property is changing at that point in space over time. The F(x,y) part tells us how the physical property is impacted by other factors, like other objects in the environment or the temperature of the air around the point we measure.
The discrete Poisson equation helps us understand how physical systems change over time, including things like the tide of the ocean, the speed of a jet engine, or the temperature of a room.
(d2u/dx2 + d2u/dy2) = F(x,y)
This equation tells us how a particular physical property (like temperature or speed) changes at any given point in space (x and y). It also tells us what happens when we look at changes over time, like when a bubble rises in a bathtub.
In the equation, u is the physical property we are looking at (like temperature). The d2u/dx2 and d2u/dy2 parts tell us how the property is changing at that point in space over time. The F(x,y) part tells us how the physical property is impacted by other factors, like other objects in the environment or the temperature of the air around the point we measure.
The discrete Poisson equation helps us understand how physical systems change over time, including things like the tide of the ocean, the speed of a jet engine, or the temperature of a room.