A Note on Crank-Nicolson Scheme for Burgers’ Equation
نویسندگان
چکیده
منابع مشابه
A Note on Crank-Nicolson Scheme for Burgers’ Equation
In this work we generate the numerical solutions of the Burgers’ equation by applying the Crank-Nicolson method directly to the Burgers’ equation, i.e., we do not use Hopf-Cole transformation to reduce Burgers’ equation into the linear heat equation. Absolute error of the present method is compared to the absolute error of the two existing methods for two test problems. The method is also analy...
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In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2011
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2011.27118