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Fourier showed that his heat equation can be solved using trigonometric series.
Swanson's bears a certain resemblance to the Fourier heat equation.
Note that if g≡1, we recover the heat equation.
Equation 7 is called as diffusion or heat equation.
We apply our abstract results to the heat equation.
for some and bounded solution of the heat equation.
This lemma was proved in [6] for the heat equation.
Most of these papers deal with the heat equation.
Subsequently, the gained heat equation is adapted to large deformations.
Solids with heat transfer are modeled with the heat equation.
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The techniques developed in this paper are demonstrated upon a semi-discretised 1D heat equation.
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