B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat equation boundary value problem. (homogeneous PDĚ, mixed, X = [0,L] L= 2, k= 4 +₁ zon R 2²u 2u 24, u(o₁t) = 0 u(L₁Z) = 0 u(x, 0) = 1 A homogeneous BC.) - = 0 2x² nut Lond op So not sand of A 10 M dia (start 9-10 N TAS

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
Question
100%
B.C.
Solve. Completely to the final form of the 200
Solution as a Fourier Series the heat.
equation boundary value problem.
IC.
(homogeneous PDĚ, mixed, homogeneous B.C.)
S sul sulod
xe to, L7 L: 2, k=4 t201
2u - R 2²u = 0
3
2t
u(0₁t) = 0
u(Lt) = O
de all st 3.3
u(x,0) = \
JA
:
2x² 10 t pood
op
so rot jand on :/ 10 i dia
9-10
9 + 1 - 2 +
9-15
(4) mei + (as) 223-1)0) + ((s) ora 1 - (0) 205-1) ₁
Fi-Cost
Transcribed Image Text:B.C. Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat. equation boundary value problem. IC. (homogeneous PDĚ, mixed, homogeneous B.C.) S sul sulod xe to, L7 L: 2, k=4 t201 2u - R 2²u = 0 3 2t u(0₁t) = 0 u(Lt) = O de all st 3.3 u(x,0) = \ JA : 2x² 10 t pood op so rot jand on :/ 10 i dia 9-10 9 + 1 - 2 + 9-15 (4) mei + (as) 223-1)0) + ((s) ora 1 - (0) 205-1) ₁ Fi-Cost
Expert Solution
Step 1: Description about the Problem

The given problem is to find the final form of Fourier series solution for the given heat equation partial differential equation with given initial conditions and boundary conditions.

Given,

ut-kuxx=0, x[0,L], t≥0, L = 2 and k = 4,

u(0,t) = u(L,t) = 0

u(x,0) = 1.

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
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,