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Transform the problem 0<x<π, t> 0 u(π, t) = 1, Ut = Uxx u(0, t) = 3, u(x,0) = f(x), Into one with homogeneous boundary conditions. Hint: Let u(x, t) = v(x, t) + h(x), where h is chosen to satisfy the boundary conditions. Transform the problem 0<x<π, t> 0 u(π, t) = 1, Ut = Uxx u(0, t) = 3, u(x,0) = f(x), Into one with homogeneous boundary conditions. Hint: Let u(x, t) = v(x, t) + h(x), where h is chosen to satisfy the boundary conditions.
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To transform the given problem into one with homogeneous boundary conditions we can follow the hint ... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
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