On non-standard finite difference schemes for initial value problems in ordinary differential equations
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Date
Authors
Ibijola, E.A.
Lubuma, Jean M.-S.
Ade-Ibijola, O.A.
Journal Title
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Volume Title
Publisher
Academic Journals
Abstract
In this paper, we present the theory of non-standard 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.
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Keywords
Non-standard, Stability, Nonlocal approximation, Initial value problem, Ordinary differential equations
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Citation
Ibijola, EA, Lubuma, JMS & Ade-Ibijola, OA 2008, ‘On non-standard finite difference schemes for initial value problems in ordinary differential equations’, International Journal of Physical Sciences, vol. 3, no. 2, pp. 59-64. [http://www.academicjournals.org/IJPS/]