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A sliding mode observer for a linear reaction-convection-diffusion equation with disturbances

Systems & control letters (Print), 2019
A sliding mode observer is designed and analyzed for a linear reaction–convection–diffusion equation subject to external disturbances. Based on a discontinuous input, the proposed observer ensures both state estimation and disturbance rejection using ...
Habib Dimassi, J. Winkin, A. Wouwer
semanticscholar   +1 more source

Approximate Convection-Diffusion Equations

Journal of Hydrologic Engineering, 1999
This paper describes the development of simplified momentum equations, in stage as well as in discharge formulations, governing the transition between the diffusion and the kinematic waves (including the latter). It also describes the application of these equations to arrive at the approximate convection-diffusion equations.
Muthiah Perumal, Kittur G. Ranga Raju
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A simple approach to one-dimensional convection-diffusion equation and its fractional modification for E reaction arising in rotating disk electrodes

, 2019
A convection-diffusion equation for E reaction arising in rotating disk electrodes is discussed and solved by Taylor series method and Pade approximation.
Ji-Huan He
semanticscholar   +1 more source

An approximation scheme for the time fractional convection-diffusion equation

Applied Mathematics and Computation, 2018
In this paper, a discrete form is proposed for solving time fractional convection–diffusion equation. Firstly, we obtain a time discrete scheme based on finite difference method. Secondly, we prove that the time discrete scheme is unconditionally stable,
Juan Zhang, Xindong Zhang, Bohui Yang
semanticscholar   +1 more source

Stochastic Homogenization of a Convection-Diffusion Equation

SIAM Journal on Mathematical Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hakima Bessaih   +2 more
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Particle approximation of convection–diffusion equations

Mathematics and Computers in Simulation, 2001
A particle method is derived for convection-diffusion equations and a convergence theorem is proved. Numerical results are discussed for different quasi random walks. An effective method is determined for replacing pseudo-random sequences in particle simulations with quasi-random sequences.
Lécot, Christian, Schmid, Wolfgang Ch.
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Incremental unknowns for convection–diffusion equations

Applied Numerical Mathematics, 1993
The authors employ the method of incremental unknowns as suggested by the second author [SIAM J. Math. Anal. 21, No. 1, 154-178 (1990; Zbl 0715.35039)] to improve the convergence rate for some iterative methods applied to finite difference schemes for convection-diffusion equations.
Chen, Min, Temam, Roger
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Fast Iterative Method with a Second-Order Implicit Difference Scheme for Time-Space Fractional Convection–Diffusion Equation

Journal of Scientific Computing, 2016
In this paper we intend to establish fast numerical approaches to solve a class of initial-boundary problem of time-space fractional convection–diffusion equations. We present a new unconditionally stable implicit difference method, which is derived from
Xianming Gu   +4 more
semanticscholar   +1 more source

The Convection-Diffusion Equation

2005
Abstract This equation arises in numerous models of flows and other physical phenomena.
Howard C Elman   +2 more
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The convection–diffusion equation

2014
AbstractThis chapter concerns the statement of the steady convection–diffusion equation and its weak formulation. This is followed by a description of finite element discretization and properties of the discrete problem, including error bounds, stabilization methods and matrix properties.
A. M. Stuart, E. Söli
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