I solved the heat equation which is used to describe temperature change in any object. The objects used in this program are plates where one or more sides are being heated to a certain temperature (the side being heated never changes color). The heat equation can the be used to predict the temperature across the rest of plate. The plates you see in each graph are color codes where magenta represents the hottest part of the plate and a light green-blue color represents the coldest part of the plate. A bar is shown at the left of each graph to show what color corresponds with what temperature! Enjoy!
This figure shows a quadrilateral plate heated to 30 degrees on the top and left side (that is why the top and left side stay magenta).
For this plate, the right side is heated to 70 degrees.
The left side of this plate is heated to 70 degrees.
The bottom side is heated to 50 degrees.
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