Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Consider the boundary value problem: a?y''(x) + xy'(x) – (a² + 1.44)y(x) = 0 where y(0) = 0 and y(8.58) = 4.91 %3D Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4th degree polynomial as the trial function and use the collocation points x = 1.02, x = 2.49, and a = 3.59.

Consider the boundary value problem: a?y''(x) + xy'(x) – (a² + 1.44)y(x) = 0 where y(0) = 0 and y(8.58) = 4.91 %3D Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4th degree polynomial as the trial function and use the collocation points x = 1.02, x = 2.49, and a = 3.59.

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
I need the answer as soon as possible
Consider the boundary value problem: x²y'"(x) + ry'(x) – (a² + 1.44)y(x) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when a = 3.58. In other words, to approximate the value of y(3.58). Use a 4th degree polynomial as the trial function and use the collocation points x = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer - correct answer < 0.00005). Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. y(3.58) Skipped
Transcribed Image Text:Consider the boundary value problem: x²y'"(x) + ry'(x) – (a² + 1.44)y(x) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when a = 3.58. In other words, to approximate the value of y(3.58). Use a 4th degree polynomial as the trial function and use the collocation points x = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer - correct answer < 0.00005). Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. y(3.58) Skipped
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

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