convection-diffusion-reaction equation
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation
... 7. Concluding remarks. In this work we proposed and tested numerically a fully computable a posteriori error estimator for a shock-capturing like discretization of the convection-diffusion-reaction ...
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A stabilised finite element method for the convection-diffusion-reaction equation in mixed form
... the convection-diffusion-reaction equation using a mixed, first-order formulation, but us- ing standard Lagrangian elements in both ...the convection-diffusion-reaction ...
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Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... with convection dominated diffusion equation, Schrödinger equation, Helmholtz equation, nonlinear elliptic Allen–Cahn equation, and sine-Gordon equation support the theoretical ...
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Analysis of a group finite element formulation
... a convection–diffusion–reaction equation showing that the stability of the original discrete problem remains unchanged under appropriate conditions on the data of the problem and on the ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... He’s Homotopy perturbation method suggested in this article is an efficient method for obtaining the most accurate solution of a highly nonlinear partial differential equation with initial condition. Therefore, ...
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BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
... The above problem arises in the theory of heat conduction. The heat trans- fer is the propagation of the heat from one place to another in a medium or between two different mediums. It is due to the movements of atoms ...
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Memory Effect in Chemotaxis Equation
... (DR) equation has been used to model a large number of phenomena in ...linear diffusion equation does not exhibit any traveling wave ...where diffusion plays an important role and the ...
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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 the ...
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A novel approximation method for the solution of Convection Diffusion Equation using Bernstein polynomials
... Recently, Doha et al. [26-28] developed a new Chebyshev spectral method for fractional order differential equations. Hariharan and Kannan [25] reviewed the wavelet methods for solving a few reaction-diffusions. ...
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Galerkin discretizations of 4th order in space and time for the Convection-Diffusion-Reaction (CoDiRe) equation
... We start with the time discretization of problem (1) which is of variational type. In the following, let I = [0, T ] be the time interval with some positive final time T . For a function u : Ω × I → R and a fixed t ∈ I ...
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An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... Burger-Huxley equation which describe the relation of reaction, convection and diffusion ...Burger’s-Huxley equation using mixed collocation and finite difference scheme have been ...
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GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.
... nonlinear reaction diffusion of problem (P), this is done in four steps: the first step we show the positive ...the equation and shows that the problem obtained has a ...
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Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation
... DOI: 10.4236/ajcm.2017.73025 359 American Journal of Computational Mathematics respect to the model it mentioned [24]. However truncation errors exist, due to the approximations used to describe the flow of groundwater ...
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Grid expansion factor for the shooting method solution of convection diffusion equation
... of convection-diffusion related problems is the main reason why they are found in various science and engineering ...of convection- diffusion ...
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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 problem ...
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A control volume technique based on integrated RBFNs for the convection-diffusion equation
... Abstract This paper reports a new high-order control-volume discretisation for the convection-diffusion equation in one and two dimensions. Diffusive fluxes at the faces of a control volume and other ...
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Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity
... Fisher–KPP equation (monostable case). For this equation, Hamel and Nadirashvili in [8] proved the existence of entire solutions by the comparison theorem and super-sub estimates, which consists of ...
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Traveling wave solutions for a neutral reaction–diffusion equation with non monotone reaction
... quasi-monotone reaction F and with 0 < b < 1, but they imposed more stringent conditions on the reaction function F because of the methods they ...
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The entropy solution of a reaction–diffusion equation on an unbounded domain
... the equation considered in this paper, there is no diffusion coefficient, it is almost impossible to find a function similar to the Fichera function to express the boundary value ...
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Asymptotic behavior of the solutions of a discrete reaction diffusion equation
... Discrete reaction-diffusion type partial difference equations have recently been introduced by a number of authors as models for the study of spatio- temporal chaos ...above equation are ...
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