Numerical comparison of nonstandard schemes for the Airy equation
Keywords:ODE, Nonstandard Finite Difference Scheme, Airy Equation
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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