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About Finite Difference Solution of The Heat Equation: Adam Powell
This document discusses numerical methods for solving the heat equation using finite differences. It begins by deriving the heat equation and defining relevant terms. It then introduces the finite difference method, which discretizes space and time into a grid. Using this, it derives the forward Euler method for explicit time stepping. This allows calculating future temperatures based on present neighbors but is only conditionally stable. It introduces the mesh Fourier number and derives stability criteria. Finally, it discusses implicit and Crank-Nicholson methods which allow for larger time steps.
Detailed Information
| Author: | ['nitsilcharassam'] |
|---|---|
| Publication Year: | 2012 |
| Pages: | 6 |
| Language: | English |
| Format: | |
| Price: | FREE |
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