Skip to Main Content
Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
Interpolation 6-17
4
5
()( )()()
()( )()()( )
b
cdef
a
bcdef
xcxdxbxe y
xcxdxbxex f y
D
D
+−
+−
(6.76)
The Newton divided difference for
mula at
(6.74) corresponds to the dotted line in the table.
6.8.3 Lagrange’s
4
Formula
for Unequal Intervals
Theorem 6.5 If the functional values f ( x
r
) are
known at the arguments x
r
(r = 0, 1, 2, …, n) then
12
0
0102 0
02
1
1012 1
01 1
01 1
()( )( )
() ( )
()( )( )
()()()
()
()()()
()()( )
()
()()( )
n
n
n
n
n
n
nn nn
xxxx xx
fx fx
xxxx xx
xx xx xx
fx
xxxx xx
xx xx xx
fx
xxxx xx
−−
=
−−
−−
+
−−
−−
++
−−
(6.77)
Proof Let y = f ( x) be a function which is satisfied
by the (n + 1) points (x
r
, f ( x
r
)), (r = 0, 1, 2 … n)
then
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Applied Mathematical Methods by Pearson

Applied Mathematical Methods by Pearson

Bhaskar Dasgupta
Mathematical Modelling

Mathematical Modelling

Pramod Belkhode, Prashant Maheshwary, Kanchan Borkar, J.P. Modak

Publisher Resources

ISBN: 9781299446557Publisher Website