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

ISSN:2141-7016

Article Title: New Non-standard Finite Difference Schemes for Ordinary Differential Equations whose Solution can be expressed as a Quotient of Two Polynomials
by Ibijola E. A, Obayomi A.A and Olabode B. T

Abstract:
This paper presented non-standard finite difference scheme for the solution of initial value problems of ordinary differential equations whose solution may be expressed as a quotient of two polynomials or functions. One of the most important rules of non-standard methods is the approximation of the denominator (h) by a function of (h) that satisfies some given condition. A new technique of deriving renormalized denominator function has been developed and schemes constructed using this technique has been tested and found to be reliable. The result of numerical experiment on the schemes are presented in 3D graphs.
Keywords: difference scheme, ordinary differential equations, initial value problem (ivp), non-standard methods, renormalized denominator.
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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

 

 

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