Author/Authors :
Karakoç, S.Battal Gazi Nevsehir Haci Bektas Veli University, Turkey , Aba, Ali Rıza Nevsehir Haci Bektas Veli University, Turkey
Title Of Article :
A Petrov-Galerkin finite element method for the numerical solution of the KdV-Burgers equation
Abstract :
In this study, a Petrov-Galerkin finite element method, in which the element shape functions are cubic and weight functions are quadratic B-splines, is implemented to find the numerical solution of the Korteweg-de Vries-Burgers (KdVB) equation. Accuracy of the presented method is demonstrated by three test problems. The obtained numerical results are compared with results given in the literature and shown graphically.
NaturalLanguageKeyword :
KdVB equation , Finite element method , Petrov , Galerkin , B , splines , Solitary waves.
JournalTitle :
Erciyes University Journal Of The Institute Of Science and Technology
