nonlinear reaction diffusion equation
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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ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... fractional diffusion equations, which are first order accuracy in both time and space and have the advantage of low computational work and low mem- ory ...fractional diffusion equations [26] [27] and ...
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Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... Laplace equation, Poisson’s equation, and Helmholtz equa- tion are some of well-known second-order elliptic PDEs of linear type, and their exact solution helps in realizing the qualitative character of ...
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Memory Effect in Chemotaxis Equation
... Keywords Chemotaxis, Nonlinear Diffusion-Reaction Equation, Finite Memory Effect, Solitary Wave Solutions.. Introduction Diffusion-Reaction DR equation has been used to explain many phen[r] ...
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Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation
... a nonlinear discretization of the kind con- sidered in this ...the nonlinear discretization, and several numerical results showing the performance of the estimator are presented in Section ...
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A free boundary problem for a reaction diffusion equation appearing in biology
... Nonlinear dissipative systems has been an active area of research in the last decade. Complex inter- action of the components of the system together with advection process result in non-trivial spacio- temporal ...
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GLOBAL EXISTENCE IN REACTION DIFFUSION NONLINEAR PARABOLIC PARTAIL DIFFERENTIAL EQUATION IN IMAGE PROCESSING.
... We give the proof of global existence of our nonlinear reaction diffusion of problem (P). In the first we define an approximating scheme and by using Schauder fixed point theorem in ordered Banach ...
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An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... called nonlinear generalized Burger-Huxley equation which describe the relation of reaction, convection and diffusion ...Burger’s-Huxley equation using mixed collocation and finite ...
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Pushed and pulled fronts in a discrete reaction diffusion equation
... spatially-discrete diffusion equation with cubic nonlinearity on a one-dimensional integer ...entire nonlinear wave profile determines the wavespeed) fronts, under variation of the coupling strength ...
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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 ...
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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 ...study nonlinear two- level partial ...
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SOLVING A NONLINEAR INVERSE PROBLEM OF IDENTIFYING AN UNKNOWN SOURCE TERM IN A REACTION-DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD
... the nonlinear source for nonlin- ear Reaction-Diffusion equation whenever the initial and boundary condition are ...a nonlinear function whose coefficients are determined from the solution of ...
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Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition
... the reaction–diffusion equation with nonlocal source and Neumann boundary condition, but they did not consider the equation with nonlinear ...the nonlinear absorption of ...
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Dynamics of active systems with nonlinear excitation of the phase
... Belousov-Zhabotinsky reaction and systems used for material synthesis by solid-phase combustion, known as self-propagating high- temperature ...on diffusion (or thermal conductivity), which is reflected in ...
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The Prolongation Structures for the System of the Reaction Diffusion Type
... We have introduced the covering theory for prolongation structure of nonlinear evolution equation in the previous section. Based upon this theory, we will dis- cuss the corresponding prolongation structure ...
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Computational Studies of Reaction Diffusion Systems by Nonlinear Galerkin Method
... the function subspace, where the approximation of the solutions is searched. Before the application on the Scott- Wang-Showalter model, we use the single one-dimen- sional reaction-diffusion equation ...
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Adomian Decomposition Approach to the Solution of the Burger’s Equation
... the nonlinear reaction-diffusion Burger’s equation using Adomian decomposition is ...Burger’s equation are deter- ...Burger’s equation using Adomian’s decomposition are pre- ...
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Simulation methods for spatiotemporal models of biochemical signaling networks
... spatiotemporal reaction networks on arbitrary stationary geometries is presented in Chapter ...of nonlinear reaction diffusion equations with arbi- trary boundary ...of nonlinear ...
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The uniqueness of a nonlinear diffusion equation related to the p Laplacian
... a nonlinear diffusion equation related to the ...p-Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient is dependent on the distance ...
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Numerical method for solving a nonlinear inverse diffusion equation
... differential equation as well as partial differential equation as key to model the problem in their work problem, it is shown that the mathematical knowledge has been used as a solution discovered by ...
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