A model of anaerobic digestion for biogas production using abel equations

Mathematical models for biogas production are studied due to their importance in the use of control and optimization of renewable resources and clean energy. In this paper, we combine two algebraic methods to obtain solutions of Abel equation of first kind that arises from a mathematical model to bi...

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Autores:
Acosta-Humánez, Primitivo B.
Machado Higuera, Maximiliano
Sinitsyn, Alexander V.
Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad Simón Bolívar
Repositorio:
Repositorio Digital USB
Idioma:
eng
OAI Identifier:
oai:bonga.unisimon.edu.co:20.500.12442/1895
Acceso en línea:
http://hdl.handle.net/20.500.12442/1895
Palabra clave:
Abel equation
Biogas
Differential equations
Hamiltonian algebrization
Liouvillian solutions
Rights
License
licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional
Description
Summary:Mathematical models for biogas production are studied due to their importance in the use of control and optimization of renewable resources and clean energy. In this paper, we combine two algebraic methods to obtain solutions of Abel equation of first kind that arises from a mathematical model to biogas production formulated in France on 2001. The aim of this paper is to obtain Liouvillian solutions of Abel’s equations through Hamiltonian algebrization. As an illustration, we present graphics of solutions for Abel equations and solutions for Abel equations in algebraic form.