The Use of Fourier Transform in Heat Equation and Wave Equation
DOI:
https://doi.org/10.54097/hset.v38i.5881Keywords:
Fourier transform; Standing wave and vibrating string Solving the heat equation in spaceAbstract
In the solve for the equation for heat transfer and wave movement, using Fourier Transform to simplify the differential equation and solve it. With the periodic property of the wave including standing wave and vibrating string and heat equation and its stable solution, it can provide many new properties of the equation. Then using the same method to solve the heat equation in space, it gives a similar equation like the plane heat transfer equation. The passage mainly discussed about using Fourier transform to solve standing waves equation heat equation in steady state and in the time dependent state. The general way of solving wave equation both standing wave and traveling wave) is finding differential equation for a half period, expending it into the R, using Fourier transform to solve the equation.
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