A New Grünwald-Letnikov Derivative Derived from a Second-Order Scheme
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A novel derivation of a second-order accurate Grünwald-Letnikov-type approximation to the fractional derivative of a function is presented.
This scheme is shown to be second-order accurate under certain modifications to account for poor accuracy in approximating the asymptotic behavior near the lower limit of differentiation.
Some example functions are chosen and numerical results are presented to illustrate the efficacy of this new method over some other popular choices for discretizing fractional derivatives.
American Psychological Association (APA)
Jacobs, B. A.. 2015. A New Grünwald-Letnikov Derivative Derived from a Second-Order Scheme. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052146
Modern Language Association (MLA)
Jacobs, B. A.. A New Grünwald-Letnikov Derivative Derived from a Second-Order Scheme. Abstract and Applied Analysis No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1052146
American Medical Association (AMA)
Jacobs, B. A.. A New Grünwald-Letnikov Derivative Derived from a Second-Order Scheme. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052146
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052146