Least-squares quadratic B-spline finite element method for the regularised long wave equation

Dag İ.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol.182, pp.205-215, 2000 (SCI-Expanded) identifier identifier


An approximate solution consisting of a combination of the quadratic B-spline functions is incorporated into the least-squares method. An application of this method is presented for computing the solution of the Regularised Long Wave (RLW) equation. Quadratic B-spline solution of the RLW equation leads to tridiagonal matrix system which is solved easily by using the Thomas algorithm. Performance of this scheme is tested by obtaining a solitary wave solution of the equation and by studying the development of the undular bore, Numerical results of the proposed algorithm is shown to have higher accuracy in terms of L-2-error norm compared studying the migration of the solitary wave. A Fourier stability analysis of the method is investigated. (C) 2000 Elsevier Science S.A. All rights reserved.