Consider the heat equation ди %3D Əx2 subject to the boundary conditions u(0, t) = 0 and u(L, t) = 0. Solve the initial value problem if the temperature is initially (b) u(x,0) = 3 sin – sin 372 - 1 (а) и(х,0) %3D 0 < x < L/2 2 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
icon
Related questions
Topic Video
Question
100%

Could you explain how to do (b) in detail?

2.3.3. Consider the heat equation
du
= k-
Ət
subject to the boundary conditions
u(0, t) = 0
and
u(L, t) = 0.
Solve the initial value problem if the temperature is initially
(b) u(x,0) =3 sin " – sin 3TT
%3D
1
(а) и(х,0) -
{
0 < x < L/2
L/2 < x < L
2
Transcribed Image Text:2.3.3. Consider the heat equation du = k- Ət subject to the boundary conditions u(0, t) = 0 and u(L, t) = 0. Solve the initial value problem if the temperature is initially (b) u(x,0) =3 sin " – sin 3TT %3D 1 (а) и(х,0) - { 0 < x < L/2 L/2 < x < L 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,