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Engineering Mathematics
book

Engineering Mathematics

by Babu Ram
June 2009
Intermediate to advanced content levelIntermediate to advanced
1100 pages
42h 22m
English
Pearson India
Content preview from Engineering Mathematics
26.10 INTERPOLATION WITH UNEQUAL SPACED POINTS

The classical polynomial interpolating formulae discussed so far are limited to the case in which intervals of independent variables were equally spaced. We shall now discuss interpolation formulae with unequally spaced values of the argument.

(a) Divided Differences

Let f (x0), f (x1),…, f (xn) be the values of a function f corresponding to the arguments x0, x1,‥, xn, where the intervals x1x0, x2x1,…, xnxn–1 are not necessarily equally spaced. Then the first divided differences of f for the arguments x0, x1, x2,… are defined by

 

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and so on. The second divided difference (divided difference ...

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Publisher Resources

ISBN: 9789332515611