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Fourier Transform Solutions for Heat Equations by ben tomas is a document available to read on EtoBox.
What is Fourier Transform Solutions for Heat Equations about?
The document outlines the solution to a heat equation using Fourier transforms, detailing the steps to derive the finite Fourier sine transform and the resulting expressions for temperature T(x, t) under specified boundary and initial conditions. It includes calculations for two different scenarios, with the first involving T(0, t) = 0 and T(2, t) = 0, and the second involving T(0, t) = 0 and T(π, t) = 0. The final results are presented as series summations of sine functions multiplied by exponential decay
- Author
- ben tomas
- Language
- EN