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Home  >  volume 36 (no1)

Derivation and Implementation of Two-step Finite Difference Schemes for Non-Autonomous Second Order Ordinary Differential Equations by Obayomi A.A. and Oke M.O (Pages 65-72)
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A set of two step finite difference schemes have been developed and implemented on some non-linear ordinary differential equations which are non-autonomous. An hybrid of both standard and non-standard methods have been employed in the derivation of the schemes. The fundamental matrix of the differential equation has again proved to be a very useful tool for creating discrete models. The schemes were found to possess the same monotonicity as the analytic solution of the original equation.

                Keywords: Finite Difference, Non-autonomous, Perturbation, Renormalization, Discrete model, Dimensionless system