Mathematical Methods in the Physical Sciences · Problem 2.2

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · laplace-equation-semi-infinite-plate

Problem

Solve the semi-infinite plate problem if the bottom edge of width 20 is held at T={0∘,0<x<10,100∘,10<x<20,T = \begin{cases} 0^\circ, & 0 < x < 10, \\ 100^\circ, & 10 < x < 20, \end{cases} and the other sides are at 0∘0^\circ.

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