Dynamics of a Stochastic Fractional Reaction-Diffusion Equation
نویسندگان
چکیده
منابع مشابه
A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation
The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N²M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge. Domain decomposition method (DDM) embodies large potential for parallelization of the numerical solution for fractional equations and serves as a basis for distributed, ...
متن کاملFractional diffusion limit for a stochastic kinetic equation
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed test functions, under an appropriate scaling for the small parameter, and with the moment method used in the deterministic case, we show the convergence in law to a stochastic fluid limit involving a fractional Laplacian.
متن کاملA stochastic pitchfork bifurcation in a reaction-diffusion equation
First we prove, for m 65, a lower bound on the dimension of the random attractor, which is of the same order in as the upper bound we derived in an earlier paper, and is the same as that obtained in the deterministic case. Then we show, for m = 1, that as passes through ¶ 1 (the rst eigenvalue of the negative Laplacian) from below, the system undergoes a stochastic bifurcation of pitchfor...
متن کاملSolution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation
The approximate analytical solution of fractional order, nonlinear, reaction differential equations, namely the nonlinear diffusion equations, with a given initial condition, is obtained by using the homotopy analysis method. As a demonstration of a good mathematical model, the present article gives graphical presentations of the effect of the reaction terms on the solution profile for various ...
متن کاملDynamics of a Reaction-diffusion equation with a Discontinuous Nonlinearity
We study the nonlinear dynamics of a reaction-diffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and of the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of fixed points and study their stability. Finally, we analyze the existence of heteroclinic connect...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2018
ISSN: 1027-5487
DOI: 10.11650/tjm/8161