APPLIED MATHEMATICAL MODELLING, vol.32, no.4, pp.535-546, 2008 (SCI-Expanded)
Article / Article
APPLIED MATHEMATICAL MODELLING
Science Citation Index Expanded (SCI-EXPANDED), Scopus
radial basis functions, KdV equation, COLLOCATION METHODS, GALERKIN METHODS
Eskisehir Osmangazi University Affiliated:
Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the collocation with radial basis functions. Five standard radial basis functions are used in the method of the collocation. The results are compared for the numerical experiments of the propagation of solitons, interaction of two solitary waves and breakdown of initial conditions into a train of solitons. (c) 2007 Elsevier Inc. All rights reserved.