Numerical solution of Korteweg–de Vries-Burgers equation by the modified variational iteration algorithm-II arising in shallow water waves
In this paper, an effective modification of variational iteration algorithm-II is presented for the
numerical solution of the Korteweg–de Vries-Burgers equation, Burgers equation and …
numerical solution of the Korteweg–de Vries-Burgers equation, Burgers equation and …
Numerical solution of one-dimensional Burgers equation: explicit and exact-explicit finite difference methods
This paper presents finite-difference solution and analytical solution of the finite-difference
approximations based on the standard explicit method to the one-dimensional Burgers …
approximations based on the standard explicit method to the one-dimensional Burgers …
[HTML][HTML] Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
In this study, a least-squares quadratic B-spline finite element method for calculating the
numerical solutions of the one-dimensional Burgers-like equations with appropriate …
numerical solutions of the one-dimensional Burgers-like equations with appropriate …
A finite element approach for solution of Burgers' equation
In this study, for the Burgers' equation which is used a model problem in turbulence and
shock wave theory was given a finite element solution. Considering the numerical results …
shock wave theory was given a finite element solution. Considering the numerical results …
An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
W Liao - Applied Mathematics and Computation, 2008 - Elsevier
A fourth-order compact finite difference method is proposed in this paper to solve one-
dimensional Burgers' equation. The newly proposed method is based on the Hopf–Cole …
dimensional Burgers' equation. The newly proposed method is based on the Hopf–Cole …
Fourth-order finite difference method for solving Burgers' equation
In this paper, we present fourth-order finite difference method for solving nonlinear one-
dimensional Burgers' equation. This method is unconditionally stable. The convergence …
dimensional Burgers' equation. This method is unconditionally stable. The convergence …
Analytical solutions of the nonlinear time-fractional coupled Boussinesq-Burger equations using laplace residual power series technique
In this paper, we present the series solutions of the nonlinear time-fractional coupled
Boussinesq-Burger equations (T-FCB-BEs) using Laplace-residual power series (L-RPS) …
Boussinesq-Burger equations (T-FCB-BEs) using Laplace-residual power series (L-RPS) …
On the solution of Burgers' equation with the new fractional derivative
Firstly in this article, the exact solution of a time fractional Burgers' equation, where the
derivative is conformable fractional derivative, with dirichlet and initial conditions is found …
derivative is conformable fractional derivative, with dirichlet and initial conditions is found …
Numerical solution of the Burgers' equation by automatic differentiation
A Asaithambi - Applied Mathematics and Computation, 2010 - Elsevier
We compute the solution of the one-dimensional Burgers' equation by marching the solution
in time using a Taylor series expansion. Our approach does not require symbolic …
in time using a Taylor series expansion. Our approach does not require symbolic …
A numerical solution of Burgers' equation by modified Adomian method
S Abbasbandy, MT Darvishi - Applied Mathematics and Computation, 2005 - Elsevier
In this paper, the modified Adomian's decomposition method for calculating a numerical
solution of the one-dimensional quasi-linear, the Burgers' equation, is presented. Time …
solution of the one-dimensional quasi-linear, the Burgers' equation, is presented. Time …