convection–diffusion–reaction equations
A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations
... A combined approximate scheme is defined for convection-diffusion-reaction equations. This scheme is constructed by two methods. Standard mixed finite element method is used for ...
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... The analysis is performed for the model problems of linear steady-state and time-dependent convection-diffusion-reaction equations. Applying a nonlinear discretization scheme to a lin- ear ...
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A posteriori error estimates for finite volume and mixed finite element discretizations of convection–diffusion–reaction equations
... For ε = 10 −2 and a = 0.05 (convection-dominated regime on coarse meshes and diffusion-dominated regime with progressive refinement), still the distribution of the error in the finite volume case is predicted very ...
13
Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
... differential equations, or by systems of partial differential ...- diffusion - reaction non-linear equations with Cauchy condition by the Laplace - SBA ...
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(O2 ) and nitric oxide (NO) in the human lungs. MetHb is
... fundamental convection-diffusion-reaction equations and derive a coupled two (micro-meso) scale model for coupled reactive transport of nitric oxide and oxygen in the red blood cell and the ...
6
STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
... evolutionary convection-diffusion-reaction equations provided in [12] to OCPs governed by time-dependent convection-diffusion-reaction ...the convection-dominated ...
15
Analysis of algebraic flux correction schemes
... Abstract. A family of algebraic flux correction schemes for linear boundary value problems in any space dimension is studied. These methods’ main feature is that they limit the fluxes along each one of the edges of the ...
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Analysis of a group finite element formulation
... and convection–diffusion problems with incompressible convection fields (see, ...for convection–diffusion–reaction equations with divergence-free convection ...
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BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
... some reaction-diffusion equations with a nonlinear convection term have been theoretically studied by many authors (see [3], [6], [7], [8], [9], [24], [25], [26] and the references cited ...
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Drug delivery in biological tissues : a two-layer reaction-diffusion-convection model
... the diffusion of drug in the solid phase is negligible, it can be shown that the equations for the drug dynamics in layer (i) in terms of volume averaged concentrations (2) ...
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Existence of reaction diffusion convection waves in unbounded strips
... that a small perturbation of the operator can lead to disappearance of the family of solu- tions. Thus, family of solutions of operator equations are not generally structurally stable. Condition (3.11) means that ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... The homotopy perturbation method introduced first by the Chinese researcher Dr. Ji-Huan HE [1-5] for solving differential and integral equations, linear and nonlinear has been the subject of extensive analytical ...
6
Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
... It is well known that the maximum principle of parabolic or elliptic boundary value problems in the method of upper and lower solutions of convection reaction-diffusion boundary value problems plays a ...
13
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... of reaction, convection and diffusion ...These equations have been investigated by numerous authors, some numerical approximation methods are listed as follows, Adomian-decomposition method ...
15
Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... If A ≡ 0, the above problem (1) becomes a system of singularly perturbed parabolic reaction-diffusion equations. For these problems, some robust convergence numerical approaches on layer-adapted meshes are ...
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A streamline derivative POD-ROM for advection-diffusion-reaction equations*
... for convection-dominated and turbulent flows, with a rather simple driven structure, both for practical implementations such as to perform the numerical ...
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General Solution of Linear Partial Differential Equations Modeling Homogeneous diffusion-convection-reaction Problems with Cauchy Initial Condition
... Abstract. In this paper, we propose the general solution of diffusion-convection-reaction homo- geneous problems with condition initial of Cauchy, using the SBA numerical method. This method is based ...
14
Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection Diffusion Equations
... [2] N. Madden and M. Stynes, “A Uniformly Convergent Numerical Method for a Coupled System of Two Singu- larly Perturbed Linear Reaction-Diffusion Problems,” IMA Journal of Numerical Analysis, Vol. 23, No. ...
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Pathways to Equity: An Auto-Ethnographic and Narrative Study of Teacher Educator and Preservice Teachers in a One-Credit Course and Community-Based Field Experience
... the convection-diffusion-reaction equation is smaller that the convective ...called convection- dominated ...of convection-dominated equations, non-physical oscillations may ...
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Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
... 6. Conclusions. In this article we performed the numerical analysis of IGA for one- dimensional reaction-convection-diffusion problems with two small parameters. We estab- lished that if the knot ...
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