Answered: Topic: Diffusion Equation u_t = aplha *…

Topic: Diffusion Equation u_t = aplha * u_xx with conditions: u(0,t) = 0 and u(0,L) = 0 Solve the initial value problem using seperation of variables: u(x,0) = 1 when 0 < x L/2 and 2 when L/2 < x < L

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Topic: Diffusion Equation u_t = aplha * u_xx

with conditions: u(0,t) = 0 and u(0,L) = 0

Solve the initial value problem using seperation of variables: u(x,0) = 1 when 0 < x L/2 and 2 when L/2 < x < L

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