Mathematical proof of closed form expressions for finite difference approximations based on Taylor series

Journal of Computational and Applied Mathematics

Volumn 150, Issue 2, 2003, Pages 303-309

  Khan, Ishtiaq Rasool ^a,b   Ohba, Ryoji ^c   Hozumi, Noriyuki ^c  

^a UNIVERSITY OF KITAKYUSHU   (Japan)

^b Kitakyushu Found Adv I S/T   (Japan)

^c HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Backward difference approximations; Central difference approximations; Finite difference approximations; Forward difference approximations; Numerical differentiation; Taylor series

Indexed keywords

FUNCTION EVALUATION; NUMERICAL ANALYSIS;

TAYLOR SERIES;

FINITE DIFFERENCE METHOD;

FINITE DIFFERENCE TECHNIQUE;

EID: 0037437820     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00667-2     Document Type: Article

References (8)

1. Closed form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
2. Digital differentiators based on Taylor series