The Heat Equation on a Disk with Radial Symmetry

We solve the heat equation on a disk where the boundary of the disk is held at zero temperature. We assume that there is only radial dependence for the solution, which reduces the number of separation constants needed for the problem. We use the fact that Bessel functions have an infinite number of roots to write down and infinite series which solves the boundary value problem when the coefficients are chosen to be Fourier-Bessel coefficients.

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