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The linear stability of traveling waves to the compound Kdv-Burgers equation
compound Kdv-Burgers equation inear stability
2010/9/21
Herein the traveling waves of compound Kdv-Burgers are considered,.with the help of an analytic function D(λ), the traveling wave is stable.
Existence and uniqueness of an entropy solution for Burgers equation
existence d uniqueness theorems approximation
2010/9/13
This paper is concerned with the proof of the existence and uniqueness of an entropy solution for B urgers equation with additive source term (outside forces act on fluid particles). Some estimates ar...
Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation’
Non-polynomial spline nonlinear burgers' equation von neumann stability accuracy
2008/11/10
In this paper, we propose a non-polynomial spline based method to develop a numerical method for approximation to the Burgers' equation. Applying the Von-Neumann stability analysis, we show that the p...
On the Analytical and Numerical Solutions of the One-Dimensional Nonlinear Burgers’Equation
Adomian decomposition Method；tanh -function Method；nonlinear Burgers' equation；analytical solution；accuracy
2008/11/10
In this paper, we present two methods for finding solutions to the one-dimensional nonlinear Burgers' equation. The first method is an analytical one, which is based on the tanh - function method. The...
CONVERGENCE OF SPECTRAL METHOD IN TIME FOR BURGERS' EQUATION
Spectral method Burgers' equ
2007/12/11
For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseud...