Question 2. Consider the no heat source term partial differential equation with homogeneous Dirichlet boundary conditions: for t > 0 and 0 < x < 1, u (0, t) = u (1, t) = 0, for t > 0, u (x,0) = x, 0 < x< 1,
Question 2. Consider the no heat source term partial differential equation with homogeneous Dirichlet boundary conditions: for t > 0 and 0 < x < 1, u (0, t) = u (1, t) = 0, for t > 0, u (x,0) = x, 0 < x< 1,
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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Transcribed Image Text:Question 2.
Consider the no heat source term partial differential equation with homogeneous
Dirichlet boundary conditions:
for t > 0 and 0 < x < 1,
Ut = Urr,
u (0, t) = u (1, t) = 0, for t > 0,
u (x,0) = x,
0 <x < 1,
(d) ,-
Į Conduct one time step to approximate u (x,t) using an explicit finite difference
1
and At = 0.01.
4'
scheme with: Ar =
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