Sivashinsky Equation
Numerical Simulation of Stochastic Kuramoto Sivashinsky Equation
... In recent years, many scholars have studied deterministic k-s equations and made important achievements, but there are relatively few studies on stochastic Kuramoto-Sivashinsky equations, and studying the ...
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Controlling roughening processes in the stochastic Kuramoto–Sivashinsky equation
... Kuramoto-Sivashinsky equation. The original equation is split into a linear stochastic and a nonlinear deterministic equation so that we can apply linear feedback control ...
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Application of He's homotopy perturbation method for solving Sivashinsky equation
... the Sivashinsky equation, see [14, ...this equation is not obtainable so, only a numerical scheme has been proposed for the solution of the Sivashinsky equation, see [13, 16, ...
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Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto Sivashinsky Equation
... In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu- tions of a two dimensional generalized anisotropy Kuramoto-Sivashinsky Equation. Then we prove the ...
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Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation
... In this work the generalized Kuramoto-Sivashinsky equation is solved for exact solutions. The said GKSE have exact solutions for the different α and β values, which we obtained by the application of ...
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Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation
... In this work, we apply the Galerkin meshfree method based on the RBFs to the Sivashinsky equation and consider the stability of this equation by the eigenfunction expansion. This paper is organized ...
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Stabilizing non trivial solutions of the generalized Kuramoto Sivashinsky equation using feedback and optimal control
... Kuramoto-Sivashinsky equation is studied in this ...the equation in which the effects of an electric field and dispersion are ...Kuramoto-Sivashinsky equation, including travelling wave ...
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The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation
... Kuramoto–Sivashinsky equation is a non-linear evolution equation and has many applications in a variety of physical phenomena such as reaction diffusion systems (Kuramoto and Tsuzuki, 1976)[11], long ...
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Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
... In this paper we obtained the exact solutions of the generalized Kuramoto- Sivashinsky equation (1.1) by using the Lie symmetry method along with the simplest equation method. The profiles of the ...
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A Reduced High-order Compact Finite Difference Scheme Based on Proper Orthogonal Decomposition for the Generalized Kuramoto-Sivashinsky Equation
... (GKS) equation is originally derived in the context of plasma instabilities, flame front propagation, and phase turbulence in reaction-diffusion ...GKS equation can as a model for a variety of physical ...
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Multiplicity and structures for traveling wave solutions of the Kuramoto Sivashinsky equation
... The rest of this paper is organized as follows. In Section 2, the problem is formulated and a far-field analysis is presented to elucidate the possibility of three classes of sta- tionary traveling wave solutions. Then, ...
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An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
... as a Fourier series defined on these grid points and consider the system of ordinary differential equations for a finite number of Fourier modes. We compute the nonlinear terms on the grid using FFTs to go from Fourier ...
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Travelling wave solution to a generalized Kuramoto-Sivashinsky equation
... It is known that the KS equation has travelling wave solution in terms of hyperbolic tangent function, whereas the KdVB equation has travelling wave solution invo[r] ...
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Synchronization and Impulsive Control of Some Parabolic Partial Differential Equations
... The impulsive control methods have been successfully used for controlling chaotic behavior of Kuramoto- Sivashinsky equation by making its solutions equi-attractive in the large, although the original PDE ...
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Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation
... Kuramoto–Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse ...Kuramoto–Sivashinsky equation. The Kuramoto–Siva- shinsky equation is used as an ...
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On The Numerical Solution of Two Dimensional Model of an Alloy Solidification Problem
... the Sivashinsky equation in one-dimensional have been proposed respectively in [3] ...sional Sivashinsky equation with lumped-mass method and optimal order error bounds for the piecewise ...
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Dynamics of active systems with nonlinear excitation of the phase
... differential equation gov- erning the phase of ...phase equation may involve self-excitation such as anti-diffusion in the (Kuramoto-Sivashinsky ...phase equation based on a nonlinear ...phase ...
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Reaction Mechanics for Point Objects
... (12) Equation (11) is the Equation of Motion of Reaction ...Mechanics. Equation (11) represents three equations in Classical ...ity Equation (11) represents four parametric ...This ...
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Some Partial Differential Equations In Ms. Khin Saw Mu
... This paper contains a brief summary of the work done and some recommendations for future research directions. These some partial differential equations are based on the computation of inequalities and integration. Some ...
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Semiparametric Bayesian inference in multiple equation models
... wage equation, we also include weeks of actual labor market experience (EXPERIENCE), weeks of tenure at the current job (TENURE), a dummy for residence in an urban area (URBAN), and a continuous measure of the ...
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