MODIFIED PATANKAR RUNGE-KUTTA SCHEME USING CONVEX WEIGHTING OF THE PATANKAR WEIGHT DENOMINATORS

Authors

Johnny Fabián Villavicencio Delgado Estudiante de la Maestría Académica con Trayectoria de Investigación en Matemática, Instituto de Posgrado, Universidad Técnica de Manabí, Ecuador https://orcid.org/0009-0005-8554-5548
Galo Javier González Hernández Facultad de Ciencias, Universidad Central del Ecuador, Ecuador https://orcid.org/0000-0002-6175-1372

DOI:

https://doi.org/10.33936/revbasdelaciencia.v7iESPECIAL.5084

Keywords:

Conservatives, Modified Patankar RungeKutta (MPRK), Patankar Weight Denominators (PWD), Systems of production destruction.

Abstract

The following presents an introduction to the modified patankar rungekutta schemes, which are known as numeric schemes that solve systems of production destruction positives and conservatives. It will show the main properties of MPRK schemes, in particular it stands out the second order schemes of two stages known as MPRK22. Further, it would intro- duce a modification of the MPRK22 scheme, and show a new scheme of second order by completing a convex combination of the Patankar Weight Denominators (PWD).

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