THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:1
THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION

THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION

Authors : Melis ZORSAHIN GORGULU, Dursun IRK

Pages : 119-128

View : 42 | Download : 9

Publication Date : 2019-03-01

Article Type : Research Paper

Abstract :Cubic B-spline Galerkin method, based on second and fourth order single step methods for time integration is used to solve numerically the advection diffusion equation insert ignore into journalissuearticles values(ADE);. Second order single step method is also known as Crank Nicolson method. Two numerical examples are used to validate the proposed method which is found to be accurate and efficient. The effects of the advection and diffusion terms on the solution domain and the absolute error of the numerical solution are studied with the help of graphs. The obtained results show that the proposed fourth order single step method has a high success as a numerical technique for solving the ADE.
Keywords : Cubic B spline, Galerkin method, fourth order single step method, Crank Nicolson method, advection diffusion equation

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.