Results 251 to 260 of about 1,249,069 (294)

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
openaire   +1 more source

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
openaire   +2 more sources

Burgers' equation on a branching structure

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bressloff, P. C., Dwyer, V. M., Kearney, M. J.   +2 more
openaire   +1 more source

A New Type of Burgers' Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1973
AbstractAssuming a similarity hypothesis that achieves the balance of non‐linearity, unsteadiness and dissipative effects, a new type of Burgers' equation is obtained. Consideration is limited to those cases where the singular surface theory predicts no growth of acceleration wave. Two examples are given.
Nariboli, G. A., Lin, W. C.
openaire   +1 more source

Asymptotics for the Burgers Equation with Pumping

Communications in Mathematical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hayashi, Nakao, Naumkin, Pavel I.
openaire   +2 more sources

Rapidly Forced Burgers Equation

1993
A forced Burgers equation is considered. Using an analysis on the whole line, earlier results found by semiline methods are recovered. In the case where the time dependence of the forcing is rapidly varying an asymptotic expansion of the solution of Burgers equation is obtained.
M. J. ABLOWITZ, DE LILLO, Silvana
openaire   +2 more sources

Solutions of a Nonhomogeneous Burgers Equation

Studies in Applied Mathematics, 2010
In this article, we construct solutions of a nonhomogeneous Burgers equation subject to certain unbounded initial profiles. In an interesting study, Kloosterziel [1] represented the solution of an initial value problem (IVP) for the heat equation, with initial data in , as a series of the self‐similar solutions of the heat equation.
Rao, Ch. Srinivasa, Yadav, Manoj K.
openaire   +2 more sources

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
openaire   +1 more source

A numerical solution of Burgers' equation

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. N. Aksan, A. Özdes
openaire   +2 more sources

The Burgers equation

2000
The Burgers equation is a simple equation to understand the main properties of the Navier-Stokes equations. In this one-dimensional equation the pressure is neglected but the effects of the nonlinear and viscous terms remain, hence as in the Navier-Stokes equations a Reynolds number can be defined.
openaire   +1 more source