A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations
Журнал Белорусского государственного университета: Математика, информатика, 2019 A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested.
Viktor K. Polevikov
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Mathematics, 2023 In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
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The discontinuous Galerkin method for fractional degenerate convection-diffusion equations [PDF]
, 2011 We propose and study discontinuous Galerkin methods for strongly degenerate convection-diffusion equations perturbed by a fractional diffusion (L\'evy) operator. We prove various stability estimates along with convergence results toward properly defined (
A. Dedner +30 more
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Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations
Mathematics, 2020 This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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Convergence of adaptive mixed finite element method for convection-diffusion-reaction equations [PDF]
, 2013 We prove the convergence of an adaptive mixed finite element method (AMFEM) for (nonsymmetric) convection-diffusion-reaction equations. The convergence result holds from the cases where convection or reaction is not present to convection-or reaction ...
Du, Shaohong, Xie, Xiaoping
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Open Physics, 2021 In this study, we propose a simple direct meshless scheme based on the Gaussian radial basis function for the one-dimensional linear and nonlinear convection–diffusion problems, which frequently occur in physical phenomena.
Wang Fuzhang +3 more
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Competitive effects between stationary chemical reaction centres: a theory based on off-center monopoles. [PDF]
, 2015 The subject of this paper is competitive effects between multiple reaction sinks. A theory based on off-center monopoles is developed for the steady-state diffusion equation and for the convection-diffusion equation with a constant flow field.
Biello, Joseph A, Samson, René
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Chaotic diffusion of particles with finite mass in oscillating convection flows
, 2002 Deterministic diffusion in temporally oscillating convection is studied for particles with finite mass. The particles are assumed to obey a simple dissipative dynamical system and the particle diffusion is induced by the strange attractor.
A. Crisanti +4 more
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Limit cycles in the presence of convection, a first order analysis [PDF]
, 2006 We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system.
Flach, E. H., Norbury, John, Schnell, S.
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Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
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