Wavelet-Petrov-Galerkin Method for the Numerical Solution of the KdV Equation
The 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 p...
- Autores:
-
Villegas Gutiérrez, Jairo Alberto
Castaño B., Jorge
Duarte V., Julio
Fierro Y., Esper
- Tipo de recurso:
- Fecha de publicación:
- 2012
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/7410
- Acceso en línea:
- http://hdl.handle.net/10784/7410
- Palabra clave:
- KdV equation
soliton
wavelet
Wavelet-Petrov-Galerkin Method
- Rights
- License
- Acceso abierto
| Summary: | The 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). |
|---|