Title :
Some new semi-implicit finite difference schemes for numerical solution of Burgers equation
Author :
Rahman, Kaysar ; Helil, Nurmamat ; Yimin, Rahmatjan
Author_Institution :
Coll. of Math. & Syst. Sci. Xinjiang Univ. Urumqi, Urumqi, China
Abstract :
Some new liberalized semi implicit finite-difference method is proposed in this paper to solve one dimensional Burgers equation. Numerical results obtained by the present methods have been compared with exact solution and most of the existing numerical methods for different values of Reynolds number Re. The numerical results also show that they are in excellent agreement with the exact solution.
Keywords :
finite difference methods; nonlinear differential equations; turbulence; Reynolds number; numerical method; numerical solution; one dimensional Burgers equation; semiimplicit finite difference scheme; turbulence mathematical model; Equations; Burgers equation; Reynolds number; Semi-implicit Finite differences;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5622119
