heat equation

American  

noun

Mathematics, Thermodynamics.

1. a partial differential equation the solution of which gives the distribution of temperature in a region as a function of space and time when the temperature at the boundaries, the initial distribution of temperature, and the physical properties of the medium are specified.

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Example Sentences

Since the solution to the two-dimensional heat equation is a function of three variables, it is not easy to create a visual representation of the solution.

From Textbooks • Mar. 30, 2016

Figure 4.24 Graph of a solution of the heat equation in one dimension over time.

From Textbooks • Mar. 30, 2016

If we consider the heat equation in one dimension, then it is possible to graph the solution over time.

From Textbooks • Mar. 30, 2016