Numerical comparison of nonstandard schemes for the Airy equation

Authors

  • Oluwaseye Adekanye Howard University
  • Talitha Washington Howard University

DOI:

https://doi.org/10.14419/ijamr.v6i4.8490

Published:

2017-11-19

Keywords:

ODE, Nonstandard Finite Difference Scheme, Airy Equation

Abstract

This paper considers the Airy ordinary differential equation (ODE) and different ways it can be discretized. We first consider a standard discretization using the central difference scheme. We then consider two difference schemes which were created using a nonstandard methodology. Finally, we compare the different schemes and how well they approximate solutions to the Airy ODE.

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