Boundary Conditions of the Heat Equation - Partial Differential Equations | Lecture 2 скачать в хорошем качестве

Boundary Conditions of the Heat Equation - Partial Differential Equations | Lecture 2

The heat equation is formulated in terms of derivatives in both space and time. The time derivative means we can interpret it as a dynamical system. That is, it changes in time, and so requires an initial condition. However, the addition of spatial variables now require conditions on what happens at the boundaries of space as well, in addition to those in time. In this lecture I go over three commonly employed boundary conditions for the heat equation and explain what kinds of physical processes they are describing. Learn more about how the heat equation models chemical pollutants too:    • Modelling Diffusion - Math Modelling | Lec...   Lectures series on differential equations:    • Welcome - Ordinary Differential Equations ...   More information on the instructor: https://hybrid.concordia.ca/jbrambur/ Follow @jbramburger7 on Twitter for updates.