Mathematical Methods in the Physical Sciences · Problem 5.10

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · cube-time-dependent-temperature

Problem

A cube is originally at 100∘100^\circ. From t=0t = 0 on, the faces are held at 0∘0^\circ. Find the time-dependent temperature distribution. HintHint: This problem leads to a triple Fourier series; see the double Fourier series in Problem 9 and generalize it to three dimensions.

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