Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement


Autores/as

  • Yuber Alejandro Galeano Traslaviña Universidad Industrial de Santander

DOI:

https://doi.org/10.22517/23447214.17461

Palabras clave:

Klein Gordon Equation, Adaptive mesh refinement, scalar field, algorithm, numerical simulations

Resumen

In this paper we present the numerical evolution of a test scalar field on a Minkowski background using adaptive mesh refinement techniques (AMR). The Dynamics of the scalar field is given by the Klein Gordon equation with an exponential potential, which has been used as a model of quintessence scalar fields. As a first step in this work a description of the AMR algorithm is presented. Then we perform an analysis related to the convergence of the numerical simulations, founding convergence of second order, which is consistent with the second order finite difference scheme used.

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Publicado

2018-06-30

Cómo citar

Galeano Traslaviña, Y. A. (2018). Numerical Solutions of the Klein-Gordon Equation with Adaptive Mesh Refinement. Scientia Et Technica, 23(2), 275–279. https://doi.org/10.22517/23447214.17461

Número

Sección

Ciencias Básicas