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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.

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.

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Finite Difference Schemes of One Variable