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Mathematical

The document provides instructions for solving three partial differential equations (PDE) problems: 1) A diffusion problem with boundary conditions of U=0 at X=0 and X=L. 2) A Neumann wave problem with boundary condition of U=0 at t=0. 3) A wave problem with initial conditions of U=sin(5t) when X=0 and X=L, and boundary condition of U=0 at t=0.

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mohammed1998
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32 views1 page

Mathematical

The document provides instructions for solving three partial differential equations (PDE) problems: 1) A diffusion problem with boundary conditions of U=0 at X=0 and X=L. 2) A Neumann wave problem with boundary condition of U=0 at t=0. 3) A wave problem with initial conditions of U=sin(5t) when X=0 and X=L, and boundary condition of U=0 at t=0.

Uploaded by

mohammed1998
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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PDEs HW 03 24 7 2020

3 00 7 00pm

Solve the diffusion problem


Ut 4Uxx o X o
g t o

2 o xq
UCX
L 6 I X Coo
U Coit o

Derive a solution formula for


The Neumann Wave Problem
Ut KUxx o X o t o

Unico cx

Ucoit o Neumann boundary condition

Consider the wave problem


5 t
164 0 o CXC o

Unico Xie Ut X o 4X
g
U Colt o
g UC 5 t 0

Find
UC 1,3 UC2 67,3 U 23.5
3.1g

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