Some new semi-implicit finite difference schemes for numerical solution of Burgers equation

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...

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Published in2010 International Conference on Computer Application and System Modeling (ICCASM 2010) Vol. 14; pp. V14-451 - V14-455
Main Authors Rahman, Kaysar, Helil, Nurmamat, Yimin, Rahmatjan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2010
Subjects
Burgers equation
Equations
Reynolds number
Semi-implicit Finite differences
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ISBN9781424472352
1424472350
ISSN2161-9069
DOI10.1109/ICCASM.2010.5622119

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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.
AbstractList 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.
Author Yimin, Rahmatjan
Helil, Nurmamat
Rahman, Kaysar
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  email: rahmatjanim@gmail.com
  organization: Coll. of Math. & Syst. Sci. Xinjiang Univ. Urumqi, Urumqi, China
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Snippet Some new liberalized semi implicit finite-difference method is proposed in this paper to solve one dimensional Burgers equation. Numerical results obtained by...
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StartPage V14-451
SubjectTerms Burgers equation
Equations
Reynolds number
Semi-implicit Finite differences
Title Some new semi-implicit finite difference schemes for numerical solution of Burgers equation
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Volume 14
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