On nonstandard finite difference schemes for initial value problems in ordinary differential equations

E. A. Ibijola; J. M.S. Lubuma; O. A. Ade-Ibijola

On nonstandard finite difference schemes for initial value problems in ordinary differential equations

E. A. Ibijola, J. M.S. Lubuma, O. A. Ade-Ibijola

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we present the theory of nonstandard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed. We also examine the stability properties of the constructed schemes.

Original language	English
Pages (from-to)	59-64
Number of pages	6
Journal	International Journal of Physical Sciences
Volume	3
Issue number	2
Publication status	Published - Feb 2008
Externally published	Yes

Keywords

Initial value problem
Nonlocal approximation
Nonstandard
Ordinary differential equations
Stability

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
General Physics and Astronomy

Cite this

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title = "On nonstandard finite difference schemes for initial value problems in ordinary differential equations",

abstract = "In this paper, we present the theory of nonstandard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed. We also examine the stability properties of the constructed schemes.",

keywords = "Initial value problem, Nonlocal approximation, Nonstandard, Ordinary differential equations, Stability",

author = "Ibijola, {E. A.} and Lubuma, {J. M.S.} and Ade-Ibijola, {O. A.}",

year = "2008",

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AU - Ibijola, E. A.

AU - Lubuma, J. M.S.

AU - Ade-Ibijola, O. A.

PY - 2008/2

Y1 - 2008/2

N2 - In this paper, we present the theory of nonstandard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed. We also examine the stability properties of the constructed schemes.

AB - In this paper, we present the theory of nonstandard finite difference schemes which can be used to solve some initial value problems in ordinary differential equations. Methods of construction and mode of implementation of these methods are also discussed. We also examine the stability properties of the constructed schemes.

KW - Initial value problem

KW - Nonlocal approximation

KW - Nonstandard

KW - Ordinary differential equations

KW - Stability

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M3 - Article

AN - SCOPUS:78751494095

SN - 1992-1950

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EP - 64

JO - International Journal of Physical Sciences

JF - International Journal of Physical Sciences

IS - 2

ER -

On nonstandard finite difference schemes for initial value problems in ordinary differential equations

Abstract

Keywords

ASJC Scopus subject areas

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