Burgers equation
A Note on Crank Nicolson Scheme for Burgers’ Equation
... used Burgers’ equation to develop new algorithms and to test various existing ...the Burgers’ equations into parabolic partial differential ...nonlinear Burgers’ equation directly ...
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Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions
... We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order L-stable derivative-free error-corrected trapezoidal rule LSDFECT . Then, we apply LSDFECT rule to the ...
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DECOMPOSITION METHOD IN COMPARISON WITH NUMERICAL SOLUTIONS OF BURGERS EQUATION
... differential equation which is used as a model for these problems is Burgers ...This equation is applied to laminar and turbulence flows as ...
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An Unconventional Splitting for Korteweg de Vries-Burgers Equation
... (KdVB) equation based on splitting is ...KdVB equation and split the equation into two ...KdVB equation enables us to play with the splitted ...splitted equation as close to the ...
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Controlling the dynamics of Burgers equation with a high order nonlinearity
... ∂x + mu +h(x), (1.5) where h(x) is a forcing term. The cases m = 0 and m = 1 in (1.5) subject to peri- odic boundary conditions were analyzed by the author [19, 20] and the author and Nicolaenko [21]. In [19, 21], the ...
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Parametric covariance dynamics for the nonlinear diffusive Burgers equation
... ance for the long-term behaviour, while the variance is over- estimated for larger initial error magnitudes. From numer- ical investigations with smaller error magnitude at the ini- tial time, the PKF prediction of phase ...
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Upwind Finite Volume Solution of Stochastic Burgers’ Equation
... differential equation representing the steady-state balance between the convective and diffusive ...the Burgers’ equation lies in the inability to effectively balance the nonlinear convective term, ...
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Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation
... Interpretations of quantum mechanics are drawing a reemerging attention in the light of the centennial of David Bohm’s anniversary. Part of this work was presented at the Emergent Quantum Mechanics 2017 conference. On ...
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SOLUTION OF TWO DIMENSIONAL BURGERS EQUATION BY USING HYBRID CRANK-NICHOLSON AND LAX-FREDRICHS’ FINITE DIFFERENCE SCHEMES ARISING FROM OPERATOR SPLITTING
... Solving Burgers equation continues to be a challenging problem. Burgers’ equation is a fundamental partial differential equation from fluid ...Navier-Stokes equation for ...
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Exact Solutions for a Compound KDV-Burgers Equation with Forcing Term
... and Burgers equation with forcing term is exactly solvable and many studies of these equations have already been ...KdV-Burgers equation with forcing term which includes the KdV-Burgers ...
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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation
... The paper is organized as follows: In Section 2, we introduce the optimal control problem of Burgers’ equation. In Section 3, we give the optimality conditions for optimal control problem of Burgers’ ...
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Development of Discontinuous Galerkin Method for 1-D Inviscid Burgers Equation
... inviscid Burgers equation, with a nonlocal nonlinear term admits smooth global solutions for certain initial data which is smooth and ...nondecreasing. Burgers equation is a very suitable ...
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Well posedness of Korteweg De Vries Burgers equation on a Finite Domain
... Vries-Burgers equation is one of the typical examples incorporating the effects of dispersion, dissipation and ...Vries-Burgers equation [4, ...KDV-B equation on the one dimension torus ...
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B¨acklund Transformations and Exact Explicit Solutions for a High-order Classical Boussinesq-Burgers Equation
... Boussinesq- Burgers equation is ...Boussinesq-Burgers equation into a single Sharma-Tasso-Olver equation, then we obtain B¨acklund transformation and abundant exact solutions, including ...
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Soliton solutions to the time dependent coupled KdV–Burgers’ equation
... In this article, the authors apply the Lie symmetry approach and the modified (G /G)-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation. Using suitable similarity ...
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Spline Collocation Method for solving Burgers equation in Fluid Dynamic
... Burgers equation reduced by Hopf-Cole ...the equation decayedd for t = 0.5.In this study,the reduced Burgers equation is solved by spline explicit scheme and implicit ...
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Analytical study for time and time space fractional Burgers’ equation
... In this section the existence of a unique solution is introduced in Theorem .. Further- more, the convergence of VIM solution () is proved in Theorem .. Finally, the max- imum absolute truncation error of VIM ...
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Neumann problem on the semi-line for the Burgers equation
... In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique ...
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Low-dimensional modelling of a generalised Burgers equation
... Burgers equation is one of the simplest nonlinear partial differential equations—it combines the basic processes of diffusion and nonlinear ...generalised Burgers equations for bounded smooth time ...
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On Burgers equation on a time space scale
... the Burgers equation on a time-space scale can be linearized by using the Cole-Hopf ...the Burgers equation (see (.) and the heat equation on a time-space ...
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