Mathematical Methods in the Physical Sciences · Problem 5.1

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · cylinder-bessel-series-coefficients

Problem

Compute numerically the coefficients (5.16) of the first three terms of the series (5.11) for the steady-state temperature in a solid semi-infinite cylinder when u=0u = 0 at r=1r = 1, and u=100u = 100 at z=0z = 0. Find uu at r=12r = \frac{1}{2}, z=1z = 1.

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