Taylor-petrov-galerkin method for the numerical solution of KdV equation
Fecha
2016-01-01
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Hikari Ltd.
Resumen
In 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.
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Cubic B-splines, Finite element method, KdV equation, Legendre polynomials, Taylor-Petrov-Galerkin method