Journal of Emerging Trends in Engineering and Applied Sciences: Research Areas

Article Title: Numerical Schemes Based on Non-Standard Methods for Initial Value Problems in Ordinary Differential Equations
by Ibijola, E. A and Obayomi, A. A.

Abstract:
In this paper we present new methods of constructing Non-Standard schemes. Two new logical ways for constructing the denominator functions for the discrete derivatives were introduced and schemes were constructed based on Non Local Approximation. The schemes were applied on sampled IVPs in ordinary differential equations to verify whether the schemes are computationally reliable. The results obtained show that the schemes are suitable for problems for which they were proposed.

Keywords: local approximations, denominator functions (type A and B), modeling, non-standard method, IVP (Initial Value Problem), rock

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