Crank-Nicolson semi-implicit approach for numerical solutions of two- dimensional coupled nonlinear Burgers' equations

• Autorzy: Srivastava V. K. , Tamsir M.
• Języki publikacji: EN

Abstrakty

EN

The two-dimensional Burgers' equation is a mathematical model which is used to describe various kinds of phenomena such as turbulence and viscous fluid. In this paper, Crank-Nicolson semi-implicit scheme is used to handle such problem. The proposed scheme forms a system of linear algebraic difference equations to be solved at each time-step. The linear system is solved by direct method. Numerical results are compared with those of exact solutions and other available results. The present method performs well. To our best knowledge no one has solved Burgers' equations using this scheme. The proposed scheme can be extended for solving non-linear problems arising in various branches of engineering and science.

Słowa kluczowe

EN

Burgers' equations; finite differences; Crank-Nicolson semi implicit scheme; Reynolds number; direct method

PL

metoda różnic skończonych; metoda Cranka-Nicolsona; liczba Reynoldsa; metoda bezpośrednia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 2
• Strony: 571--581
• Opis fizyczny: Bibliogr. 14 poz., tab., wykr.

Twórcy

autor

Srivastava V. K.

autor

Tamsir M.

• Institute of Informatics, University of Bergen Bergen-7030, NORWAY,

Bibliografia

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