Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
A boundary value problem is defined by y" + y +1 = 0 0

A boundary value problem is defined by y" + y +1 = 0 0

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

Please fast solve

Question#5 (a) A boundary value problem is defined by у" +у+13D0 0 < x<1 Where, y (0) = 0 and y (1)=1 (i) With h = 0.5, use the finite difference method to determine the value of y (o.5) (ii)With h = 0.25, use the finite difference method to determine the value of y (o.5) (iii)Given the exact value of the equation as y (0.5) = 0.139493927, find the error in the above two cases. (b) Use Finite difference method to solve y" – y = 0 With y (0) = 0, y4 = 3.62686 and h = 0.5, %3D complete the following table given that y = sinhx is the exact solution y (Computed value) y = sinhx (Exact value) X Error 0.5 0.52110 1.0 1.17520 1.5 2.12928
Transcribed Image Text:Question#5 (a) A boundary value problem is defined by у" +у+13D0 0 < x<1 Where, y (0) = 0 and y (1)=1 (i) With h = 0.5, use the finite difference method to determine the value of y (o.5) (ii)With h = 0.25, use the finite difference method to determine the value of y (o.5) (iii)Given the exact value of the equation as y (0.5) = 0.139493927, find the error in the above two cases. (b) Use Finite difference method to solve y" – y = 0 With y (0) = 0, y4 = 3.62686 and h = 0.5, %3D complete the following table given that y = sinhx is the exact solution y (Computed value) y = sinhx (Exact value) X Error 0.5 0.52110 1.0 1.17520 1.5 2.12928
Expert Solution
steps

Step by step

Solved in 4 steps with 2 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