Consider the temperature in a uniform rod of length 2 if the initial temperature is f (x) = x %3D and if the end x = 0 is insulated while the other end is maintained zero degree tem- perature. (a) Find an initial-boundary value problem of PDE to model the temperature function u (x, t): (b) Solve this PDE.
Consider the temperature in a uniform rod of length 2 if the initial temperature is f (x) = x %3D and if the end x = 0 is insulated while the other end is maintained zero degree tem- perature. (a) Find an initial-boundary value problem of PDE to model the temperature function u (x, t): (b) Solve this PDE.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Transcribed Image Text:3.
Consider the temperature in a uniform rod of length 2 if the initial temperature
is
f (x) = x
and if the end x = 0 is insulated while the other end is maintained zero degree tem-
perature.
(a) Find an initial-boundary value problem of PDE to model the temperature function
u (x, t);
(b) Solve this PDE.
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