Solve the boundary value problem. U₁ = Uzz u(-1, t) = u(1, t) and u₂(-1, t) = u₂(1, t) u(x, 0) = 2x4 - 4x² +1 u(x, t) = + B=1 if -1 0 if t > 0 if -1
Solve the boundary value problem. U₁ = Uzz u(-1, t) = u(1, t) and u₂(-1, t) = u₂(1, t) u(x, 0) = 2x4 - 4x² +1 u(x, t) = + B=1 if -1 0 if t > 0 if -1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:You are expected to do some subsequent simplification for your final answer.
Solve the boundary value problem.
Ut = UII
u( − 1, t) = u(1, t) and u₁( − 1, t) = u₂(1, t)
u(x, 0) = 2x¹ - 4x² + 1
u(x, t) =
=
+
n=1
if −1<x< 1 and t > 0
if t > 0
if
−1≤x≤1
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
