Least-squares quadratic B-spline finite element method for the regularised long wave equation
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, cilt.182, ss.205-215, 2000 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 182
- Basım Tarihi: 2000
- Doi Numarası: 10.1016/s0045-7825(99)00106-1
- Dergi Adı: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.205-215
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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.