Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain

Explicit Finite Diferences Methods (FDM) are used for numerical simulations in seismic problems. In these cases the medium is heterogeneous and for the guarantee of a precise and stable solution there is the need to use refined discretizations for spatial and temporal variables, resulting in large...

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Main Author: Frank Henry Acasiete Quispe
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-12-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2635
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author Frank Henry Acasiete Quispe
author_facet Frank Henry Acasiete Quispe
author_sort Frank Henry Acasiete Quispe
collection DOAJ
description Explicit Finite Diferences Methods (FDM) are used for numerical simulations in seismic problems. In these cases the medium is heterogeneous and for the guarantee of a precise and stable solution there is the need to use refined discretizations for spatial and temporal variables, resulting in large- scale problems. In this paper we present the explicit FDM for the wave equation in a heterogeneous domain and show the results through computer simulations.
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spelling doaj.art-079aaad1c8684636a2c694a4d8b21f362022-12-21T23:47:20ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-12-0160228929610.17268/sel.mat.2019.02.15Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domainFrank Henry Acasiete Quispe0Laboratorio Nacional de Computación Científica, MCTIC, Petrópolis- BrasilExplicit Finite Diferences Methods (FDM) are used for numerical simulations in seismic problems. In these cases the medium is heterogeneous and for the guarantee of a precise and stable solution there is the need to use refined discretizations for spatial and temporal variables, resulting in large- scale problems. In this paper we present the explicit FDM for the wave equation in a heterogeneous domain and show the results through computer simulations.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2635partial differential equationswavefinite differencesheterogeneous domain
spellingShingle Frank Henry Acasiete Quispe
Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
Selecciones Matemáticas
partial differential equations
wave
finite differences
heterogeneous domain
title Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
title_full Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
title_fullStr Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
title_full_unstemmed Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
title_short Explicit Finite Diferences Method for the solution of the acoustic wave equation in a heterogeneous domain
title_sort explicit finite diferences method for the solution of the acoustic wave equation in a heterogeneous domain
topic partial differential equations
wave
finite differences
heterogeneous domain
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2635
work_keys_str_mv AT frankhenryacasietequispe explicitfinitediferencesmethodforthesolutionoftheacousticwaveequationinaheterogeneousdomain