Question

Write programmes for constructing Langrange and Newton's divided difference interpolating polynomials for approximating a function at a given set of data points. Using them, find f(0.2) from the following table: \begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 0.0 & 0.1 & 0.3 & 0.6 & 1.0 \\ \hline $f(x)$ & -6.00000 & -5.89483 & -5.65014 & -5.17788 & -4.28172 \\ \hline \end{tabular} Are you getting the same result from both the polynomials? If so, why? Add $f(1.1) = -3.99583$ and see how it effects your solution.

          Write programmes for constructing Langrange and Newton's divided difference interpolating
polynomials for approximating a function at a given set of data points. Using them, find
f(0.2) from the following table:
\begin{tabular}{|c|c|c|c|c|c|}
\hline
$x$ & 0.0 & 0.1 & 0.3 & 0.6 & 1.0 \\
\hline
$f(x)$ & -6.00000 & -5.89483 & -5.65014 & -5.17788 & -4.28172 \\
\hline
\end{tabular}
Are you getting the same result from both the polynomials? If so, why?
Add $f(1.1) = -3.99583$ and see how it effects your solution.

Write programmes for constructing Langrange and Newton's divided difference interpolating
polynomials for approximating a function at a given set of data points. Using them, find
f(0.2) from the following table:

x 0.0 0.1 0.3 0.6 1.0

f(x) -6.00000 -5.89483 -5.65014 -5.17788 -4.28172

Are you getting the same result from both the polynomials? If so, why?
Add f(1.1) = -3.99583 and see how it effects your solution.

Added by John P.

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