ite Simpson's 1/3d rule and associate erro 12 1+x³ dx with step size h = 0.25, am te f:

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
Please do 2 questions and associate error. Do in Simpson rule please do 2 question I need it
(2) Derive composite Simpson's 1/3rd rule and associate error.
x²
Use it to evaluate f
1+3 da with step size h = 0.25, and compare it with exact value.
(3) Derive composite Simpson's 3/8th rule and associate error.
6
Use it to evaluate (i) f
h = 0.2.
1
01+x2
1.4
dx with step size h = 1. (ii) f (sinx-lnx + e) dx with step size
0.2
Transcribed Image Text:(2) Derive composite Simpson's 1/3rd rule and associate error. x² Use it to evaluate f 1+3 da with step size h = 0.25, and compare it with exact value. (3) Derive composite Simpson's 3/8th rule and associate error. 6 Use it to evaluate (i) f h = 0.2. 1 01+x2 1.4 dx with step size h = 1. (ii) f (sinx-lnx + e) dx with step size 0.2
Expert Solution
steps

Step by step

Solved in 3 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,