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This Demonstration shows unsteady-state conduction of heat in two dimensions by means of a coupled-map lattice, for example a continuous-state cellular automaton. The heat transfer is governed by ... , where ... represents the temperature in degrees Celsius of the ... cell at the ... time step. The initial and boundary conditions are ... , ... , ... , which are relatively simple, but can be adjusted in accordance with the problem at hand. The result approaches the solution of the classic PDE-based heat equation for unsteady heat conduction.
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