Coupled Burgers’ Equations
Non-polynomial Spline Method for Solving Coupled Burgers Equations
... Abstract In this paper, non-polynomial spline method for solving Coupled Burgers’ Equations are presented. We take a new spline function. The stability analysis using Von- Neumann technique shows the ...
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Higher Order Numerical Solution of Two Dimensional Coupled Burgers’ Equations
... We proposed a higher-order accurate explicit finite-difference scheme for solving the two-dimen- sional heat equation. It has a fourth-order approximation in the space variables, and a second- order approximation in the ...
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On a hybrid spectral exponential Chebyshev method for time fractional coupled Burgers equations on a semi infinite domain
... of coupled Burgers equations is very important because the system is a basic model of sedimentation or evolution of scaled volume concentrations of two sorts of par- ticles in liquid suspensions or ...
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Potential Symmetries, One Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations
... the Coupled Burgers’ equations based on differential characteristic set algorithm, and the corresponding Lie transformation groups are ...the Coupled Burgers’ equa- tions by applying ...
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Variational iteration transform method for solving burger and coupled burgers equations
... dominant equations which are solved to determine the evolution of the ...three coupled sets of equations for the dependent variable and its two first derivatives ...
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Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... two-dimensional coupled Burgers equa- tions using the Hopf-Cole ...of coupled Burgers equations have attracted considerable attention of many researchers [, ...the coupled ...
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Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time dependent variable coefficients
... where t > , x is a horizontal coordinate space and a, b are constants. The coupled Burgers equations (CBE) arise in a large number of applications in physics, engineering and math- ematical ...
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Online Full Text
... For all collocation-based meshless methods mentioned so far, it is the Radial Basis Function that plays a crucial role in determining the quality of the final results. Since the beginning of the idea of collocation, it ...
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On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation
... differential equations play a crucial role in fields of physics, chemistry and ...differential equations by simplest equation method. In this work, we deal with burgers equation, this ...
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An explicit solution of coupled viscous Burgers' equation by the decomposition method
... 4. Conclusions. In this paper, the Adomian decomposition method was used for homogeneous and inhomogeneous coupled Burgers’ equations with initial conditions. It may be concluded that the Adomian ...
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A reliable method for the space time fractional Burgers and time fractional Cahn Allen equations via the FRDTM
... differential transform method (FDTM) [–], the fractional Adomian decomposition method (FADM) [], the fractional variational iteration method (FVIM) [], the fractional sub-equation method [], the fractional natural ...
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RBFs meshless method of lines based on adaptive nodes for Burgers' equations
... The adaptive MQ RBF method of lines has been proposed for obtaining the numerical solution of Burgers’ equations. In the method of lines, centers in the domain were portioned into the interior and the ...
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Boundary Value Problems for Burgers Equations, through Nonstandard Analysis
... the Burgers equation, discontinuities may appear in finite time; even if the initial condition is smooth, they give rise to the phenomenon of shock waves with important application in physics ...makes ...
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Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications
... From these tables we can see that MSQI scheme achieves an excellent approximation with the exact solutions of the equations. Though some of the results are not better than the ones in [35], MSQI method has a ...
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On coupled systems of Hammerstein integral equations
... generalized coupled systems of integral equations of Hammerstein type with nonlinearities depending on several derivatives of both variables and we underline that both equations and both variables ...
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Effects of Nonlinearity on Wave Propagation in Fiber Bragg Gratings
... In this section we present numerical results for the nonlinear coupled mode equations (NLCME) for fiber Bragg gratings. We solve numerically NLCME (5) as an initial value problem. We assume that the fiber ...
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Numerical Solution of the Coupled Viscous Burgers’ Equation Using Differential Quadrature Method Based on Fourier Expansion Basis
... the Burgers' equation the nonlinearity al- lows discontinuous solutions to .... Coupled viscous Burgers’ equation is the non- linear partial differential equation, that encounters in the theory of ...
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SEMI DISCRETE FORMULATION OF GALERKIN -PARTIAL ARTIFICIAL DIFFUSION FINITE ELEMENT METHOD FOR COUPLED BURGERS' PROBLEM
... years, Burgers’ equation have received a considerable amount of attention due to the large number of physically important phenomena that can be modeled using this ...1-D Burgers' equation with the linear ...
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Advance Exp (-Φ(ξ)) Expansion Method and Its Application to Find the Exact Solutions for Some Important Coupled Nonlinear Physical Models
... Here u x y t ( , , ) , v x y t ( , , ) and w x y t ( , , ) presents the evolutions the surface in any natural varied instances. The coupled equation (18) is also appeared as a model equation for describing various ...
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Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation
... Burgers equation is a simplified form of the Navier-Stokes equation that represents the non-linear fea- tures of it. In this paper, the transient two-dimensional non-linear Burgers equation is solved using ...
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