Journal Information
Research Areas
Publication Ethics and Malpractice Statement
To Scholarlink Resource Center
Guidelines for Authors
For Authors
Instructions to Authors
Copyright forms
Submit Manuscript
Call for papers
Guidelines for Reviewers
For Reviewers
Review Forms
Contacts and Support
Support and Contact
List of Issues
Indexing

 

Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS)

ISSN:2141-7016

Article Title: On The Theory and Applications of Nonstandard Finite Difference Method for Singular Ordinary Differential Equations
by J. Sunday; E. A. Ibijola and Y. Skwame

Abstract:
This research work presents some basic concepts and applications of a numerical method called the nonstandard finite difference method. Emphasis shall be laid on the construction of nonstandard finite difference method for singular ordinary differential equations. The need for this method came up due to some shortcomings of the standard methods; in which the qualitative properties of the exact solutions are not usually transferred to the numerical solutions. These shortcomings affect the stability of the standard approach. The nonstandard finite difference methods have the property that their solutions do not exhibit numerical instabilities.
Keywords: nonstandard methods, singular ODEs, monotone dependence, difference equations and denominator functions
Download full paper

ISSN: 2141-7016

Editor in Chief.

Prof. Gui Yun Tian
Professor of Sensor Technologies
School of Electrical, Electronic and Computer Engineering
University of Newcastle
United Kingdom

 

 

Copyright © Journal of Emerging Trends in Engineering and Applied Sciences 2010