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Taylor Series Based Finite Difference Approximations of Higher-degree Derivatives by Ishtiaq Rasool Khan; Ryoji Ohba is a Mathematics article available to read on EtoBox.
What is Taylor Series Based Finite Difference Approximations of Higher-degree Derivatives about?
A new type of Taylor series based ÿnite di erence approximations of higher-degree derivatives of a function are presented in closed forms, with their coe cients given by explicit formulas for arbitrary orders. Characteristics and accuracies of presented approximations and already presented central di erence higher-degree approximations are investigated by performing example numerical di erentiations. It is shown that the presented approximations are more accurate than the central di erence approximations, especially for odd degrees. However, for even degrees, central di erence approximations become attractive, as the coe cients of the presented approximations of even degrees do not correspond to equispaced input samples.
Who reads Taylor Series Based Finite Difference Approximations of Higher-degree Derivatives?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Ishtiaq Rasool Khan; Ryoji Ohba
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)