Non-standard Numerical Approaches for Solutions of Some Second Order Ordinary Differential Equations
Adesoji Obayomi *
Department of Mathematical Sciences, Faculty of Science, Ekiti State University, Ado-Ekiti, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
A set of non-standard discrete models are constructed for the solution of non-homogenous second order equation. The method of non-local approximation and renormalization of the discretization functions have been applied to some examples and the result has shown that the schemes behave qualitatively like the original equation.
Keywords: Nonstandard methods, renormalized denominator functions, initial value problems, non-local approximation, discrete models.