The values of a function are 1, 1.64603, 3.61628, 4.94562 corresponding to the values of the argument 0, 0.25, 0.5, 0.75, respectively. Use Newton forward-difference formula and a forward difference table to construct interpolating polynomials of degree one, two and three. Approximate the function when the argument is 0.43 using each of the polynomials.

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

Numerical analysis 

13:06
The values of a function are 1, 1.64603, 3.61628, 4.94562 corresponding to the values of
the argument 0, 0.25, 0.5, 0.75, respectively. Use Newton forward-difference formula and a forward
difference table to construct interpolating polynomials of degree one, two and three. Approximate
the function when the argument is 0.43 using each of the polynomials.
Transcribed Image Text:13:06 The values of a function are 1, 1.64603, 3.61628, 4.94562 corresponding to the values of the argument 0, 0.25, 0.5, 0.75, respectively. Use Newton forward-difference formula and a forward difference table to construct interpolating polynomials of degree one, two and three. Approximate the function when the argument is 0.43 using each of the polynomials.
Expert Solution
steps

Step by step

Solved in 5 steps

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,