Consider the heat equation dtu = əx2u with solutions defined on 0 s x s 1 and boundary conditions uº(0) = 0,u(1) = 0. Find explicit solutions of the form u(t,x) = v(t)w(x) satisfying the initial condition u(x, t = 0) = COS

Consider the heat equation dtu = əx2u with solutions defined on 0 s x s 1 and boundary conditions uº(0) = 0,u(1) = 0. Find explicit solutions of the form u(t,x) = v(t)w(x) satisfying the initial condition u(x, t = 0) = COS

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.3P

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Question

Consider the heat equation
dtu = Əx2u
with solutions defined on 0 <xs 1 and boundary conditions u°(0) = 0,u(1) = 0.
Find explicit solutions of the form
u(t,x) = v(t)w(x)
satisfying the initial condition
u(x, t = 0)
= COS

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