Nonlinear Diffusion-Reaction Equation
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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Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... On uniformly spaced grid points, the composite of averaging and central-difference op- erator yields second-order accuracy to the first-order partial derivatives, while the second central-difference operator results in ...
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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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Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation
... on nonlinear discretizations, referred to as shock-capturing ...are nonlinear comes from the fact that linear monotone methods are usually highly diffusive, and that leads to non-optimal convergence (see ...
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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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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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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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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
... It is found that lots of physical phenomena could be formulated into nonlocal mathemat- ical models and studied by many authors (see [1–5] and the related references). Problem (1.1)–(1.3) can be used to describe, for ...
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Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... In search of a time efficient alternate, we analysed the naive version of the Crank-Nicolson scheme for the two dimensional equation, and find out that scheme is not time efficient [14] [15] [16] [17] [18]. To get ...
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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 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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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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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... the diffusion term that plays a crucial role in a wide range of applications in diffusion ...The diffusion term D u appears in several forms such as power law and exponential ...known ...
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Numerical method for solving a nonlinear inverse diffusion equation
... inverse nonlinear diffusion equation and always be positive function and also the term which remain to be ...the equation, they considered the problem ...Continuity equation [3] where ...
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