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What is Maximum Principle for Heat Equation about?
This lecture discusses the diffusion equation and its derivation from the principle of conservation of energy. The diffusion equation models heat transfer in materials where the temperature varies over both space and time. It is derived by equating the rate of change of thermal energy in a metal bar to the heat flux through the bar. This results in the one-dimensional diffusion equation, where the temperature U is a function of position x and time t: Ut = DUxx. Boundary and initial conditions complete the m
- Author
- zeeshan_scribd
- Language
- EN