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4. Use an appropriate Fourier transform to solve the 1-D diffusion equation on the hall-plane: du u 0 0 with the initial condition : u(r,0) = 0, 00 Obtain the solution in the form u(z,1) exp dr. 4(t

4. Use an appropriate Fourier transform to solve the 1-D diffusion equation on the hall-plane: du u 0 0 with the initial condition : u(r,0) = 0, 00 Obtain the solution in the form u(z,1) exp dr. 4(t

Advanced Engineering Mathematics
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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4. Use an appropriate Fourier transform to solve the 1-D diffusion equation on the half-plane: Du 0 <z< 0, t> 0 with the initial condition : u(r,0) = 0, 0<r<0 and the boundary conditions: u,(0,t) = f(). u(x.t)0 as r→ o, for t>0 Obtain the solution in the form u(r,t) dr. 4(t - 7). exp
Transcribed Image Text:4. Use an appropriate Fourier transform to solve the 1-D diffusion equation on the half-plane: Du 0 <z< 0, t> 0 with the initial condition : u(r,0) = 0, 0<r<0 and the boundary conditions: u,(0,t) = f(). u(x.t)0 as r→ o, for t>0 Obtain the solution in the form u(r,t) dr. 4(t - 7). exp
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