Reaction diffusion equation
Pushed and pulled fronts in a discrete reaction diffusion equation
... This paper focusses on the propagation speed of large-time (travelling-wave) solutions to equations (1), (2) in a one-dimensional integer lattice j ∈ Z on which u j = u j (t). We consider in particular how these speeds ...
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Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... This research paper represents a numerical approximation to non-linear two-dimensional reaction diffusion equation from population genetics. Since various initial and boundary value problems exist in ...
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SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD
... Adomian decomposition method (ADM) has been applied to solve many differential equations. In this paper, Adomian decomposition method (ADM) is employed to solve the linear and nonlinear reaction diffusion ...
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Pullback attractors for non autonomous reaction diffusion equation in non cylindrical domains
... Pullback attractors for non autonomous reaction diffusion equation in non cylindrical domains Xiao Advances in Difference Equations (2016) 2016 230 DOI 10 1186/s13662 016 0888 1 R E S E A R C H Open A[.] ...
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The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes
... solution using very small step size due to the limitation of stability condition that leads to more computational cost and lower efficiency. Therefore, Meral applied differential quadrature method and implicit Euler ...
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Critical extinction exponents for a nonlocal reaction diffusion equation with nonlocal source and interior absorption
... of works have been devoted to the study of properties of solutions to parabolic problems involving nonlocal terms. Especially, García-Melián and Rossi [] discussed the existence of a critical exponent of Fujita type for ...
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Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity
... a reaction-diffusion equation with generalized Lewis function and nonlinear exponential ...the reaction-diffusion equation with exponential growth f as a reaction term by potential well ...
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A free boundary problem for a reaction diffusion equation appearing in biology
... We will consider the system (1)-(4) together with a one parameter family of problems of the same type. The linear equation determines a transformation ω = F (ω, k), 0 ≤ k ≤ 1, for which we can apply the ...
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A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon
... Abstract This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccu- pied habitat, they can spread across ...
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A new approach of superconvergence analysis of a low order nonconforming MFEM for reaction–diffusion equation
... We solve the above equation by the linearized Crank–Nicolson MFEM (27)–(29) and divide into m × m uniform rectangles with m × m = 20 × 20, 40 × 40, 80 × 80. The error results with respect to t = 0.25, 0.50, 0.75, ...
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Research and application of compact finite difference method of low reaction diffusion equation
... The paper describes the theory of fractional derivative and specific application examples in the field of engineering sciences. On this basis, this paper mainly studies the low reaction-diffusion equations. ...
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Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
... (q − 1) | Ω | − k − 1/(q − 1) . (1.4) On the other hand, parabolic equations with nonlocal boundary conditions are also encountered in other physical applications. For example, in the study of the heat con- duction ...
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An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics
... the reaction–diffusion framework and its underlying random walk models have seen some success in addressing this connection ...The reaction–diffusion framework’s major strength is that the model’s dynamics ...
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Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity
... KPP equation by the super-sub solutions method and the comparison ...Fisher equation by considering two traveling front solutions with critical ...dispersal equation with ig- nition nonlinearity, ...
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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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The dependence of blow-up time with respect to parameters for small reaction diffusion equation
... the reaction term increases as a function of f u ( ) e u it is not hard to see that the blow-up time of the solution goes to one (Tables 1-8) when the value of decays to zero as we have shown in Remark ...
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Recursive POD expansion for reaction-diffusion equation
... As an application, we analyze the velocity of convergence of the R-POD applied to approximate the solution of the reaction-diffusion equation. We prove that the expansion converges with exponential rate. We ...
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The entropy solution of a reaction–diffusion equation on an unbounded domain
... parabolic–hyperbolic equation, how to impose a suitable partial boundary value condition to ensure the well-posedness of the entropy solutions is a very interesting prob- ...parabolic) equation, the partial ...
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Traveling wave solutions for a neutral reaction–diffusion equation with non monotone reaction
... constructing two auxiliary equations and using Schauder’s Fixed Point Theorem, we further establish the existence and the asymptotic properties of the traveling wave solution for the equation with non-monotone ...
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Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations
... fractional reaction-diffusion equation [11] that only differs from the standard reaction-diffusion equation through a fractional temporal order derivative operating on the ...
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