2021-04-122016-01-011312885XSCOPUS;2-s2.0-84959337708http://hdl.handle.net/10784/27692In order to find the approximate solution of the KdV equation, we use the finite element method of Taylor-Petrov-Galerkin, in which discretization in the time variable is carried out using Taylor series expansion and for discretization in space are considered as test functions cubic B-splines and Legendre polynomials as weight functions. These functions are adequate in that they satisfy continuity, integrability and orthogonality required to apply the method. © 2015 Jairo Villegas G., Lida Buitrago G. and Jorge Castaño B.enghttps://v2.sherpa.ac.uk/id/publication/issn/1312-885XCubic B-splinesFinite element methodKdV equationLegendre polynomialsTaylor-Petrov-Galerkin methodarticle2021-04-12Jairo Villegas, G.Lida Buitrago, G.Jorge Castaño, B.10.12988/ams.2016.511706