Libro de Resúmenes /Proceedings - Sistema Universitario Ana G ...

de reversión a la media para los horizontes estudiados. Este resultado concuerda con
otros estudios donde se demuestra mediante el uso de la estadística clásica que los
rendimientos mensuales del PRSI exhiben paso aleatorio.
A splitting technique for the advection-diffusion equation
Lourdes Vázquez 38 , Department of Mathematics, University of Puerto Rico at Río
Piedras,
Advisor: Mariano Marcano 39 , University of Puerto Rico at Río Piedras.
The advection–diffusion equation was solved by two different methods: an unsplitting
method, which applied the Crank-Nicolson method to the entire equation, and a
splitting technique, which applied the Crank-Nicolson method to the diffusion part of
the equation and a flux-limiter method to the advection component. Both methods
behaved very similar for large values of the diffusivity but as the diffusivity decreased
the approximations from the unsplitting method exhibited oscillations which were
not associated to the solutions of the equation. The order of convergence was two for
both methods. Finally, the splitting technique was used to approximate the solution
of the model equations for the dispersion of solute in a renal tubule.
38 lourdes.claralourdes@gmail.com
39 mmarcano@cnnet.upr.edu
44