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A numerical study of the Burgers’ equation

Journal of the Franklin Institute, 2008
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Bülent Saka, Idris Dag
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Generalized Burgers Equations Transformable to the Burgers Equation

Studies in Applied Mathematics, 2011
Using the mappings which involve first‐order derivatives, the Burgers equation with linear damping and variable viscosity  is linearized to several parabolic equations including the heat equation, by applying a method which is a combination of Lie’s classical method and Kawamota’s method. The independent variables of the linearized equations are not t, 
Mayil Vaganan, B., Jeyalakshmi, T.
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Soliton solutions of Burgers equations and perturbed Burgers equation

Applied Mathematics and Computation, 2010
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Anwar Ja'afar Mohamad Jawad, Marko D. Petkovic, Anjan Biswas   +2 more
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On a nonhomogeneous Burgers’ equation

Science in China Series A: Mathematics, 2001
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Ding, Xiaqi, Jiu, Quansen, He, Cheng
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Remarks on the Burgers Equation

Journal of Mathematical Physics, 1968
Periodic and aperiodic solutions of the Burgers equation ut + uux = μuxx, μ > 0, are studied in this paper. A harmonic analysis of the solutions is carried out and the form of the spectrum is estimated for large time. Corresponding estimates of energy decay are also made.
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Multiple-front solutions for the Burgers equation and the coupled Burgers equations

Applied Mathematics and Computation, 2007
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Burgers' equation on a branching structure

Physics Letters A, 1997
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Bressloff, P. C., Dwyer, V. M., Kearney, M. J.   +2 more
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On the numerical solution of the Burgers's equation

International Journal of Computer Mathematics, 2009
In this paper, we consider the linear heat equation arisen from the Burgers's equation using the Hopf–Cole transformation. Discretization of this equation with respect to the space variable results in a linear system of ordinary differential equations.
Davod Khojasteh Salkuyeh, F. Saadati Sharafeh   +1 more
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Optimal Prediction of Burgers’s Equation

Multiscale Modeling & Simulation, 2007
Summary: We examine an application of the optimal prediction framework to the truncated Fourier-Galerkin approximation of the Burgers equation. Under particular conditions on the density of the modes and the length of the memory kernel, optimal prediction introduces an additional term to the Fourier-Galerkin approximation which represents the influence
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Numerical solution of Burger's equation

Communications in Numerical Methods in Engineering, 1993
AbstractIn the present paper numerical solutions of the one‐dimensional Burger equation are obtained. The technique of finitely reproducing non‐linearities introduced by Bazley is used. This technique when applied to Burger's equation gives a method where a system of non‐linear ordinary differential equations is to be solved.
Mittal, R. C., Singhal, Poonam
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