Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

KORKMAZ, ALPER; Dag, İDİRİS

doi:10.1016/j.jfranklin.2011.09.008

Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.348, sa.10, ss.2863-2875, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 348 Sayı: 10
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.jfranklin.2011.09.008
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2863-2875
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Nonlinear Burgers' equation is solved using polynomial based differential quadrature method (PDQ). Numerical simulations are studied for three well known test problems, namely shock-like solution, travelling wave and sinusoidal disturbance solutions of Burgers' equation. Obtained numerical results of the first and the third test problems are compared with some earlier numerical results. Discrete root mean square error norm and maximum error norm are computed for the first two test problems and a comparison with some earlier works is given. Crown Copyright (C) 2011 Published by Elsevier Ltd. on behalf of The Franklin Institute All rights reserved.