reaction-diffusion-type equations
Discrete monotone method for space fractional nonlinear reaction–diffusion equations
... Lyapunov type inequality [16] among other ...of equations with long-range interactions lead to models governed by fractional differential equations in the continuous limit [17, ...nonlinear ...
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Global dynamics for a class of non monotone time delayed reaction diffusion equations
... 16. Faria, T: Asymptotic stability for delayed logistic type equations. Math. Comput. Model. 43, 433-445 (2006) 17. Györi, I, Trofimchuk, S: Global attractivity in x (t) = – δ x(t) + pf(x(t – τ )). Dyn. ...
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The Prolongation Structures for the System of the Reaction Diffusion Type
... the reaction-diffusion type are very well known and have been extensively studied in many research ...the reaction-diffusion type are investigated from theory of ...
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Morphological Instability of Bacterial Growth Fronts
... continuum equations describing the dynamics. Reaction-diffusion-type models with a nonlinear diffusion coefficient for the bacteria density have been ar- gued to be a good candidate for ...
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Numerical methods for advection-diffusion-reaction equations and medical applications
... In this chapter we are interested in hyperbolization, via a relaxation approach, of time- dependent Advection-Diffusion-Reaction Partial Differential Equations (adrPDEs) and high-order numerical ...
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General Solution of Linear Partial Differential Equations Modeling Homogeneous diffusion-convection-reaction Problems with Cauchy Initial Condition
... The SBA numerical method permitted us to resolve a few linear partial differential equations modelling diffusion, convection, reaction problems Cauchy type. The SBA method pemitted us to ...
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A streamline derivative POD-ROM for advection-diffusion-reaction equations*
... de type streamline derivative bas´ ee sur projection pour la stabilisation num´ erique de mod` eles d’ordre r´ eduit de type POD (POD- ...´ equations d’advection-diffusion-r´ eaction domin´ ...
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Solving Stiff Reaction Diffusion Equations Using Exponential Time Differences Methods
... The Exponential Time Differencing (ETD) methods [12] in conjunction with spectral methods [13] [14] [15] have emerged as viable alternatives to classical schemes for a wide variety of problems. Their applications to ...
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Monotone traveling waves for reaction-diffusion equations involving the curvature operator
... f () = = f (), meaning that no reaction is present if the gene is completely spread or not spread at all into the population. Accordingly, we will be interested in monotone traveling waves connecting (at –∞) ...
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Random Attractors for Stochastic Reaction Diffusion Equations with Distribution Derivatives on Unbounded Domains
... differential equations of this type arise from many physical systems when random spatio-temporal forcing is taken into ...deterministic equations found in [2]-[5], for ...stochastic ...
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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations
... Arbogast and Wheeler [19] defined a characteristics-mixed method to ap- proximate the solution of an advection-dominated transport problem. It used a characteristic approximation that is similar to that of MMOC-Galerkin ...
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Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
... which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and ...reaction equations. The method is ...
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The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions
... general reaction networks. In general, the mo- ment equations for systems with non-linear reactions do not form a closed set of equa- tions, and cannot be solved without further assumptions on the ...
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Pullback attractors for a class of non-autonomous reaction-diffusion equations in \(\mathbb{R}^{n}\)
... 5. Wang, BX: Attractors for reaction-diffusion equations in unbounded domains. Physica D 128, 41-52 (1999) 6. Robinson, JC: Infinite-Dimensional Dynamical Systems. Cambridge University Press, Cambridge (2001) ...
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Asymptotic analysis for reaction-diffusion equations with absorption
... In this paper, we study the blow-up and nonextinction phenomenon of reaction-diffusion equations with absorption under the null Dirichlet boundary condition. We at first discuss the existence and nonexistence ...
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Theoretical and Numerical analysis of immobilised α-chymotrypsin under kinetic control
... In recent years, concentration is devoted to enzymes and biocatalysts, particularly monophasic organic solvents [1-5]. Enzymes are normally tightly packed in cellular organelles or in enzyme cascades thus enabling ...
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BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
... with diffusion, Comm. Partial Differential Equations, 21 (1996), ...for reaction diffusion equations under dynamical boundary conditions, Communications in Partial Differ- ential ...
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Alternating direction explicit and implicit methods for Schnackenberg model
... Reaction-diffusion (RD) systems arise frequently in the study of chemical and biological phenomena and are naturally modeled by parabolic partial differential equations (PDEs). The dynamics of RD ...
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On Damped Wave Diffusion of Oxygen in Pancreatic Islets: Parabolic and Hyperbolic Models
... wave diffusion effects during oxygen transport in islets of Langerhans is ...Simultaneous reaction and diffusion models were ...Fick diffusion and hyperbolic damped wave diffusion were ...
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Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
... Abstract. In this paper, we proposed the solution of few non linear partial differential equations modelling diffusion, convection and reaction problems Cauchy kind. The Laplace SBA method based on ...
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