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


Authors

  • Yuber Alejandro Galeano Traslaviña Universidad Industrial de Santander

DOI:

https://doi.org/10.22517/23447214.17461

Keywords:

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

Abstract

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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Published

2018-06-30

How to Cite

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

Issue

Vol. 23 No. 2 (2018)

Section

Ciencias Básicas

License

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