Find u at t1, t2, t3 and associated errors via RK4 (time step length h=.01)

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

Find u at t1, t2, t3 and associated errors via RK4 (time step length h=.01)

ủ + Au = 10 cos(t/10)
uo = 100
where the exact solution is given by:
1000A
u(t) = (uo - 1+ 100A² ) °
-dt 100(10A cos(t/10) + sin(t/10)]
1+100X²
exp
and the numerical error is defined as:
Numerical – Eract
Error =
Exact
Transcribed Image Text:ủ + Au = 10 cos(t/10) uo = 100 where the exact solution is given by: 1000A u(t) = (uo - 1+ 100A² ) ° -dt 100(10A cos(t/10) + sin(t/10)] 1+100X² exp and the numerical error is defined as: Numerical – Eract Error = Exact
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
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,