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Finite Difference Schemes of One Variable
Finite difference formulas are generated for a specified number of equally spaced nodes, a derivative node, and the order of the derivative.
The terms
,
,
denotes the function values
,
,
, and so on;
is the distance between two nodes.
Contributed by:
Mikhail Dimitrov Mikhailov
SNAPSHOTS
DETAILS
The classical Taylor series method is used. For details see the textbook:
P. Moin,
Fundamentals of Engineering Numerical Analysis
, New York: Cambridge University Press, 2001.
RELATED LINKS
Finite Difference
(
Wolfram
MathWorld
)
Stirling's Finite Difference Formula
(
Wolfram
MathWorld
)
Bessel's Finite Difference Formula
(
Wolfram
MathWorld
)
Backward Difference
(
Wolfram
MathWorld
)
Forward Difference
(
Wolfram
MathWorld
)
Central Difference
(
Wolfram
MathWorld
)
Newton's Forward Difference Formula
(
Wolfram
MathWorld
)
Newton's Backward Difference Formula
(
Wolfram
MathWorld
)
Gauss's Forward Formula
(
Wolfram
MathWorld
)
Gauss's Backward Formula
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Finite Difference Schemes of One Variable
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FiniteDifferenceSchemesOfOneVariable/
Contributed by:
Mikhail Dimitrov Mikhailov
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