THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION

Melis Zorsahın Gorgulu; Dursun Irk

THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION

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 (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

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Melis Zorsahın Gorgulu This is me
0000-0001-7506-4162
Türkiye

Dursun Irk This is me
0000-0002-3340-1578
Türkiye

Publication Date

March 1, 2019

Submission Date

January 8, 2018

Acceptance Date

July 15, 2018

Published in Issue

Year 2019 Volume: 37 Number: 1

IZ

https://izlik.org/JA36WU78TT

Cite

RIS / Bibtex

APA

Zorsahın Gorgulu, M., & Irk, D. (2019). THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION. Sigma Journal of Engineering and Natural Sciences, 37(1), 119-128. https://izlik.org/JA36WU78TT

AMA

1.Zorsahın Gorgulu M, Irk D. THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION. SIGMA. 2019;37(1):119-128. https://izlik.org/JA36WU78TT

Chicago

Zorsahın Gorgulu, Melis, and Dursun Irk. 2019. “THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION”. Sigma Journal of Engineering and Natural Sciences 37 (1): 119-28. https://izlik.org/JA36WU78TT.

EndNote

Zorsahın Gorgulu M, Irk D (March 1, 2019) THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION. Sigma Journal of Engineering and Natural Sciences 37 1 119–128.

IEEE

[1]M. Zorsahın Gorgulu and D. Irk, “THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION”, SIGMA, vol. 37, no. 1, pp. 119–128, Mar. 2019, [Online]. Available: https://izlik.org/JA36WU78TT

ISNAD

Zorsahın Gorgulu, Melis - Irk, Dursun. “THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION”. Sigma Journal of Engineering and Natural Sciences 37/1 (March 1, 2019): 119-128. https://izlik.org/JA36WU78TT.

JAMA

1.Zorsahın Gorgulu M, Irk D. THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION. SIGMA. 2019;37:119–128.

MLA

Zorsahın Gorgulu, Melis, and Dursun Irk. “THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 1, Mar. 2019, pp. 119-28, https://izlik.org/JA36WU78TT.

Vancouver

1.Melis Zorsahın Gorgulu, Dursun Irk. THE GALERKIN FINITE ELEMENT METHOD FOR ADVECTION DIFFUSION EQUATION. SIGMA [Internet]. 2019 Mar. 1;37(1):119-28. Available from: https://izlik.org/JA36WU78TT