Nonlinear reaction
Blow up and global existence for nonlinear reaction diffusion equations under Neumann boundary conditions
... for nonlinear reaction-diffusion equations have received considerable ...for nonlinear reaction-diffusion equations under Neumann boundary conditions and obtained a lot of interesting results; ...
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Qualitative Properties of Solutions of a Doubly Nonlinear Reaction Diffusion System with a Source
... In this paper, we study properties of solutions to doubly nonlinear reaction-diffusion systems with variable density and source. We demonstrate the possibilities of the self-similar approach to stud- ying ...
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Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
... Many physical processes can be described by such a time-dependent parabolic equation with nonlocal diffusion and nonlinear reaction, see e.g. [10, 11, 37] and the references therein. These can be from the ...
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Discrete monotone method for space fractional nonlinear reaction–diffusion equations
... a nonlinear reaction term, so that the mathematical model under investigation is a fractional extension of the well-known Fisher’s equation from population ...
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Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... selected grids along time levels for comparison with exact results. The test example demonstrates the accuracy, efficiency and versatility of the proposed schemes. It is shown that the numerical schemes give better ...
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Global existence and blow-up for a class of nonlinear reaction diffusion problems
... This paper deals with the global existence and blow-up of the solution for a class of nonlinear reaction diffusion problems. The purpose of this paper is to establish conditions on the data to guarantee the ...
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Evolution of a predator-induced, nonlinear reaction norm
... the reaction norms for morphological predator defence as a sigmoid, three- parameter (trait) reaction ...the nonlinear reaction norm of inducible morphological ...
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Trainable Nonlinear Reaction Diffusion (TNRD) based Low Light Image Enhancement
... This paper offers the Trainable Nonlinear Reaction Diffusion (TNRD) technique which proves to be higher for enhancing the low light image. The experimental effects have discovered the improvement of our ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... t and for x ( 8,8) respectively. From this figure it is clear that approximate solutions and exact solution are found in good agreement. From the table, we have seen the comparison result of approximate and exact ...
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GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.
... In the present paper: We give the proof of global existence of our nonlinear reaction diffusion of problem (P), this is done in four steps: the first step we show the positive solution. In the second step ...
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Bounds on the hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice
... excitable reaction-diffusion waves in a fractal ...excitable reaction-diffusion systems would not normally be possi- ...of nonlinear reaction-diffusion waves in a Euclidean domain ...the ...
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Adomian Decomposition Approach to the Solution of the Burger’s Equation
... In this paper, presentation of a numerical method for the solution of the nonlinear reaction-diffusion Burger’s equation using Adomian decomposition is made. The organization of this paper is as follows: in ...
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A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon
... of reaction-diffusion equations may be analyzed by means of methods from the theory of partial differential equations and dynamical ...of nonlinear PDEs is a complex task and in a lot of nonlinear PDE ...
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Parameter identification through mode isolation for reaction diffusion systems on arbitrary geometries
... for reaction–diffusion systems can be found in [11, 36], here the validation has been mainly restricted to special domains and volumes where the eigenvalue problem can be solved ...full nonlinear ...
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ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... fractional nonlinear reaction-diffusion equation and an or- dinary differential equation, on irregular domain and rectangle domain ...fractional nonlinear reaction-diffusion ...
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Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux
... The nonlinear reaction-diffusion systems like ...and nonlinear boundary flux which obeys different laws, a power law and an exponential law; see ...for nonlinear parabolic systems were widely ...
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Parameter estimation in kinetic reaction models using nonlinear observers facilitated by model extensions
... Some observers involve a state dependent correction term L(x), whose design requires extensive symbolic manipula- tions that might not be feasible for large nonlinear systems [Birk and Zeitz, 1988]. Here, for ...
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Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method
... Many problems are governed by partial differential equations, or by systems of partial differential equations. It is generally difficult to find exact solutions of these problems. In this article, we recall the ...
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Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... They used Erdélyi–Kober fractional integral to express the hyper-Bessel operator and es- tablished the series solution by considering both direct and inverse source problem in a rectangular domain. In [2], Al-Saqabi and ...
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The Prolongation Structures for the System of the Reaction Diffusion Type
... It should be mentioned that a lot of questions remain to be understood. Firstly, it should be important to try to extend the prolongation technique to the study of higher dimension nonlinear field equations. For ...
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