Formulate the required Newton’s form of the interpolating polynomial for the given function using the conditions specified. Use these to interpolate the value of the function at and , if possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error. Round all values to five decimal places. 3rd degree polynomial using points which are not equally spaced. 3rd degree polynomial using points which are equally spaced. 2nd degree polynomial using points which are not equally spaced. 2nd degree polynomial which are equally spaced. 4th degree polynomial using either equally or not equally spaced points. NOTE: The number of points needed for a polynomial of degree n is n+1
Formulate the required Newton’s form of the interpolating polynomial for the given function using the conditions specified. Use these to interpolate the value of the function at and , if possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error. Round all values to five decimal places. 3rd degree polynomial using points which are not equally spaced. 3rd degree polynomial using points which are equally spaced. 2nd degree polynomial using points which are not equally spaced. 2nd degree polynomial which are equally spaced. 4th degree polynomial using either equally or not equally spaced points. NOTE: The number of points needed for a polynomial of degree n is n+1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Formulate the required Newton’s form of the interpolating polynomial for the given function using the conditions specified. Use these to interpolate the value of the function at and , if possible. Compare the accuracy of each estimate to the actual value by calculating the percentage error. Round all values to five decimal places.
- 3rd degree polynomial using points which are not equally spaced.
- 3rd degree polynomial using points which are equally spaced.
- 2nd degree polynomial using points which are not equally spaced.
- 2nd degree polynomial which are equally spaced.
- 4th degree polynomial using either equally or not equally spaced points.
NOTE: The number of points needed for a polynomial of degree n is n+1
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