Nonstandard Finite Difference Schemes for Differential Equations

Collection:
Clark Atlanta University Faculty Publications
Title:
Nonstandard Finite Difference Schemes for Differential Equations
Creator:
Mickens, Ronald E.
Date of Original:
2018
Subject:
African Americans--Education (Higher)--Georgia
Clark Atlanta University
Location:
United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
Medium:
articles
Type:
Text
Format:
application/pdf
Description:
Abstract: This paper gives an introduction to nonstandard finite difference methods useful for the construction of discrete models of differential equations when numerical solutions are required. While the general rules for such schemes are not precisely known at the present time, several important criterion have been found. We provide an explanation of their significance and apply them to several model ordinary and partial differential equations. The paper ends with a discussion of several outstanding problems in this area and other related issues.
Source: Journal of Difference Equations and Applications
DOI: http://dx.doi.org/10.1090/noti1617.
Metadata URL:
http://hdl.handle.net/20.500.12322/cau.ir:2002_mickens_ronald_e
Language:
eng
Original Collection:
Clark Atlanta University Faculty Publications
Holding Institution:
Clark Atlanta University
Rights:
Rights Statement information

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