The steady-state temperature, u(x, y), following boundary value problem (BVP): across a thin rectangular plate is governed by the

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The steady-state temperature, u(x, y), across a thin rectangular plate is governed by the
following boundary value problem (BVP):
U xx +u yy = 0, 0<x<a,0< y <b,
u(0, y) = 0,
u(а, у) -0,
u, (x,0) = 0,
u(x, b) = f(x),
%3D
where a and b are non-zero constants.
(а)
Describe the physical set up of the plate, specifically its width, height and four
edges. [Hint: It might be helpful to illustrate with a diagram.]
Transcribed Image Text:The steady-state temperature, u(x, y), across a thin rectangular plate is governed by the following boundary value problem (BVP): U xx +u yy = 0, 0<x<a,0< y <b, u(0, y) = 0, u(а, у) -0, u, (x,0) = 0, u(x, b) = f(x), %3D where a and b are non-zero constants. (а) Describe the physical set up of the plate, specifically its width, height and four edges. [Hint: It might be helpful to illustrate with a diagram.]
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