Abstract
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)
- [9] B.H.Batema, Some Recent Researches of the Motion of Fluid; Monthly Weather Rev,Vol. 43 pp.163-170.1915.
- [10] A.R.Forsyth; Theory of differential equations. Vol 6. Cambridge Univ, press-1906.
- [11] D.V Widder; The heat equation. Academic Press, 1975
- [12] D.V.Widder, positive temperatures on an infinite rod Trans. Amer.Math, Sec. 55.(1944) pp. 85- 86
- [13] Stephanie Roy “1D Burgers’ equation’’,(hyb56) [14] E.hopf, The partial Differential equation, Comm.
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
Burger’s equation Finite difference schemes Numerical solution initial value problem Lax-Friedrich scheme Lax-Wendroff’s scheme.
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)
- [9] B.H.Batema, Some Recent Researches of the Motion of Fluid; Monthly Weather Rev,Vol. 43 pp.163-170.1915.
- [10] A.R.Forsyth; Theory of differential equations. Vol 6. Cambridge Univ, press-1906.
- [11] D.V Widder; The heat equation. Academic Press, 1975
- [12] D.V.Widder, positive temperatures on an infinite rod Trans. Amer.Math, Sec. 55.(1944) pp. 85- 86
- [13] Stephanie Roy “1D Burgers’ equation’’,(hyb56) [14] E.hopf, The partial Differential equation, Comm.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | April 19, 2014 |
| Published in Issue | Year 2014 Volume: 27 Issue: 4 |