Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4.17 Solve the wave equation u, + Uz = 0 on a digital computer using (a) Lax scheme (b) Lax-Wendroff scheme for the initial condition

4.17 Solve the wave equation u, + Uz = 0 on a digital computer using (a) Lax scheme (b) Lax-Wendroff scheme for the initial condition

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

solve the wave equation ut+ux=0 on a digital computer using Lax Scheme and Lax-Wendroff scheme

4.17 Solve the wave equation u, + u, - 0 on a digital computer using (a) Lax scheme (b) Lax-Wendroff scheme for the initial condition u(x,0) = sin 2nm|: 40 0 <x< 40 and periodic boundary conditions. Choose a 41 grid point mesh with Ax = 1 and compute to f = 18. Solve this problem for n - 1, 3 and v = 1.0, 0.6, 0.3 and compare graphically with the exact solution. Determine B for n = 1 and n = 3, and calculate the errors in amplitude and phase for each scheme with v = 0.6. Compare these errors with the errors appearing on the graphs.
Transcribed Image Text:4.17 Solve the wave equation u, + u, - 0 on a digital computer using (a) Lax scheme (b) Lax-Wendroff scheme for the initial condition u(x,0) = sin 2nm|: 40 0 <x< 40 and periodic boundary conditions. Choose a 41 grid point mesh with Ax = 1 and compute to f = 18. Solve this problem for n - 1, 3 and v = 1.0, 0.6, 0.3 and compare graphically with the exact solution. Determine B for n = 1 and n = 3, and calculate the errors in amplitude and phase for each scheme with v = 0.6. Compare these errors with the errors appearing on the graphs.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 11 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS