Wavelet-Petrov-Galerkin Method for the Numerical Solution of the KdV Equation

dc.contributorUniversidad EAFIT. Escuela de Ciencias y Humanidades. Grupo de Investigación Análisis Funcional y Aplicaciones
dc.contributorUniversidad Surcolombiana. Departamento de Matemáticas. Neiva, Colombia
dc.contributorAnálisis Funcional y Aplicaciones
dc.creatorVillegas Gutiérrez, Jairo Alberto
dc.creatorCastaño B., Jorge
dc.creatorDuarte V., Julio
dc.creatorFierro Y., Esper
dc.date.accessioned2015-10-02T21:21:01Z
dc.date.accessioned2022-09-23T21:51:27Z
dc.date.available2015-10-02T21:21:01Z
dc.date.available2022-09-23T21:51:27Z
dc.date.created2015-10-02T21:21:01Z
dc.date.issued2012
dc.identifier1314-7552 (Online)
dc.identifier1312-885X (Print)
dc.identifierhttp://hdl.handle.net/10784/7410
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3535251
dc.description.abstractThe development of numerical techniques for obtaining approximate solutions of partial differential equations has very much increased in the last decades. Among these techniques are the finite element methods and finite difference. Recently, wavelet methods are applied to the numerical solution of partial differential equations, pioneer works in this direction are those of Beylkin, Dahmen, Jaffard and Glowinski, among others. In this paper, we employ the Wavelet-Petrov-Galerkin method to obtain the numerical solution of the equation Korterweg-de Vries (KdV).
dc.description.abstractThe development of numerical techniques for obtaining approximate solutions of partial differential equations has very much increased in the last decades. Among these techniques are the finite element methods and finite difference. Recently, wavelet methods are applied to the numerical solution of partial differential equations, pioneer works in this direction are those of Beylkin, Dahmen, Jaffard and Glowinski, among others. In this paper, we employ the Wavelet-Petrov-Galerkin method to obtain the numerical solution of the equation Korterweg-de Vries (KdV).
dc.languageeng
dc.publisherHikari
dc.relationApplied Mathematical Sciences, Vol. 6, 2012, no. 69, 3411 - 3423
dc.relationhttp://www.m-hikari.com/ams/ams-2012/ams-69-72-2012/villegasAMS69-72-2012.pdf
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAcceso abierto
dc.titleWavelet-Petrov-Galerkin Method for the Numerical Solution of the KdV Equation
dc.typearticle
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typepublishedVersion


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