Search
Search Results
-
Study of the stability to an anisotropic reaction–diffusion equation
The stability of solutions to an anisotropic reaction–diffusion equation is considered in this paper. Since the equation generally is with...
-
Symmetry-breaking bifurcations in a delayed reaction–diffusion equation
This paper is concerned with a delayed reaction–diffusion equation on a unit disk. By means of the singularity theory and Lyapunov–Schmidt reduction,...
-
Life span bounds for reaction–diffusion equation with a space–time integral source term
In this paper, we study the blow-up phenomena of the Dirichlet initial boundary value problem for reaction–diffusion equation with a space–time...
-
Higher-order tension spline-based numerical technique for time fractional reaction-diffusion wave equation with dam**
This article presents an efficient numerical technique based on tension spline for the time fractional reaction-diffusion wave equation with dam**....
-
Numerical Solution of Nonlinear Reaction-Advection-Diffusion Equation in Sense of Caputo-Fabrizio Derivative with Finite Difference and Collocation Method
In this paper, we consider a nonlinear reaction-diffusion equation with a Caputo-Fabrizio derivative and its solution is obtained by the finite...
-
Reconstruction of the Boundary Condition of the Convection–Diffusion–Reaction Equation with Automatic Selection of the Step Length
Predicting water quality in shallow bodies of water can become very complex due to the information required by the different existing models....
-
A comparison of TVD limiter functions for a convection–diffusion–reaction equation and Euler equations on triangular grids
The spatial reconstruction is an essential process for the finite volume method to create the left and right states at the cell face of each control...
-
Encoding physics to learn reaction–diffusion processes
Modelling complex spatiotemporal dynamical systems, such as reaction–diffusion processes, which can be found in many fundamental dynamical effects in...
-
Global attractivity for reaction–diffusion equations with periodic coefficients and time delays
In this paper, we provide sharp criteria of global attraction for a class of non-autonomous reaction–diffusion equations with delay and Neumann...
-
Upscaling coupled heterogeneous diffusion reaction equations in porous media
In this work, the periodic homogenization method is applied to a system of two equations of diffusion coupled through heterogeneous chemical...
-
Peridynamic model for chloride diffusion–reaction in concrete reflecting mesostructure characteristic
Efficient and accurate prediction of chloride concentration distribution in concrete is extremely important for evaluating the durability of...
-
A general degenerate reaction-diffusion model for acid-mediated tumor invasion
In this paper, we continue the research in Li et al. (J Differ Equ 371:353–395, 2023) and study the linear and global stability of a class of...
-
Numerical Methods for Fractional Diffusion-Reaction Problems Based on Operator Splitting and BURA
A system of time dependent fractional-in-space diffusion-reaction equations is considered. The spectral definition of fractional power of the...
-
Threshold dynamics of a reaction–diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality
Cholera is an acute intestinal infectious disease caused by the bacterium Vibrio cholerae . To explore the multiple effects of spatial mobility,...
-
Reaction–diffusion equation-based topology optimization code for electromagnetic wave problems using FreeFEM++
In this paper, we present a structural topology optimization code for two-dimensional electromagnetic wave problems in the context of polarized...
-
Synchronization of Inertial Cohen-Grossberg-type Neural Networks with Reaction-diffusion Terms
This paper investigates the synchronization of inertial reaction-diffusion Cohen-Grossberg-type neural networks. Compared with the existing works...
-
The minimal wave speed of a general reaction–diffusion equation with nonlinear advection
A general reaction–diffusion equation with nonlinear advection term having neither monotonicity nor variational structure is considered. This work is...
-
Growth of oriented orthotropic structures with reaction/diffusion
Lattice structures can present advantageous mechanical properties while remaining remarkably lightweight. Precise lattice design can however be...
-
An Heuristic Scheme for a Reaction Advection Diffusion Equation
Amattouch, M. R. Belhadj, H.In this paper we present an alternative meshless methodMeshless method to solve a reaction advection diffusion...
-
Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction–diffusion equations
In this paper, we investigate the longtime behavior of time fractional reaction–diffusion equations with delay. The governing partial differential...
