EN
A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION
Abstract
This paper represents a comparative study of the Lax-Friedrich scheme and Lax-Wendroff’s scheme for the numerical solution of Burger’s equation. Performing the numerical computation of the Burger’s equation by using the first order and second order schemes respectively, we verify the numerical features like accuracy, rate of convergence and efficiency of the schemes for given initial and boundary values
Keywords
References
- [1] Mohamed A. Ramadan, Talaat S. EL-Danaf; Numerical treatment for the Modified Burger’s equation-2005.
- [2] P.L. Sachdev; A class of exact solutions of boundary value problems for Burger’s equation.
- [3] L.S. Andallah. Analytical & Numerical methods for PDE’’ lecture note, Department of Mathematics.Jahangirnagar University-2010.
- [4] L.S. Andallah. “Finite difference Difference Methods – Explicit upwind Difference scheme, lecture note Department of Mathematics-J.U.
- [5] Randall J.Leveque,“Numerical Methods for Conservation Laws”, second Edition -1992, Springer.
- [6] F. Chorlton, “Fluid Dynamics” first Indian edition- 1985.
- [7] Charles 1, Fefferman “Existence and smoothness of the Navier- Stokes Equation, Princeton University, Department of Mathematics Princeton
- [8] J.D.Cole on a Quasilinear Parabolic Equation Occurring in Quart Appl Vol. 9, 225-236(1951)
Details
Primary Language
English
Subjects
Engineering
Journal Section
Conference Paper
Publication Date
April 19, 2014
Submission Date
April 19, 2014
Acceptance Date
-
Published in Issue
Year 2014 Volume: 27 Number: 4
APA
Sheikh, M. A., Andallah, L., & Kowser, A. (2014). A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION. Gazi University Journal of Science, 27(4), 1045-1051. https://izlik.org/JA76XZ49MD
AMA
1.Sheikh MA, Andallah L, Kowser A. A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION. Gazi University Journal of Science. 2014;27(4):1045-1051. https://izlik.org/JA76XZ49MD
Chicago
Sheikh, M. A., Laek Andallah, and Arefin Kowser. 2014. “A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION”. Gazi University Journal of Science 27 (4): 1045-51. https://izlik.org/JA76XZ49MD.
EndNote
Sheikh MA, Andallah L, Kowser A (November 1, 2014) A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION. Gazi University Journal of Science 27 4 1045–1051.
IEEE
[1]M. A. Sheikh, L. Andallah, and A. Kowser, “A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION”, Gazi University Journal of Science, vol. 27, no. 4, pp. 1045–1051, Nov. 2014, [Online]. Available: https://izlik.org/JA76XZ49MD
ISNAD
Sheikh, M. A. - Andallah, Laek - Kowser, Arefin. “A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION”. Gazi University Journal of Science 27/4 (November 1, 2014): 1045-1051. https://izlik.org/JA76XZ49MD.
JAMA
1.Sheikh MA, Andallah L, Kowser A. A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION. Gazi University Journal of Science. 2014;27:1045–1051.
MLA
Sheikh, M. A., et al. “A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION”. Gazi University Journal of Science, vol. 27, no. 4, Nov. 2014, pp. 1045-51, https://izlik.org/JA76XZ49MD.
Vancouver
1.M. A. Sheikh, Laek Andallah, Arefin Kowser. A COMPARATIVE STUDY OF FINITE DIFFERENCE SCHEME FOR BURGER’S EQUATION. Gazi University Journal of Science [Internet]. 2014 Nov. 1;27(4):1045-51. Available from: https://izlik.org/JA76XZ49MD