Wavelet-petrov-galerkin method for numerical solution of boussinesq equation

AKINLAR M. A., SEÇER A.

2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013, Melbourne, Australia, 20 - 21 January 2013, vol.319, pp.451-455, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 319
  • Doi Number: 10.4028/www.scientific.net/amm.319.451
  • City: Melbourne
  • Country: Australia
  • Page Numbers: pp.451-455
  • Keywords: Boussinesq equation, Multiresolution, Petrov-galerkin method, Wavelets
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we employ the Wavelet-Petrov-Galerkin method to obtain the numerical solutions of the nonlinear Boussinesq equation. Boussinesq equation has braod application areas at different branches of engineering and science including chemistry and physics. We first discretize the Boussinesq equation in terms of wavelet coefficients and scaling functions, secondly multiply the discrete equation with wavelet basis functions. Using connection coefficients we express the resulting equation as a matrix equation. One of the significant advantages of the present method is that it does not require a quadrature formula. © (2013) Trans Tech Publications, Switzerland.