Spectral and nonlinear effects in certain elliptic systems of three variables

This paper deals with the numerical approximation of a class of nonlinear delay convection-diffusion-reaction equations. In order to derive an efficient numerical scheme to solve the equations, we first convert the original equation into an equivalent ...

In this paper, we construct an efficient Hermite–Galerkin spectral method for the nonlinear reaction–diffusion equations with distributed-order fractional Laplacian in multidimensional unbounded domains. By applying Gauss–Legendre quadrature rule ...

The paper is concerned with a predator-prey diffusive system subject to homogeneous Neumann boundary conditions, where the growth rate (ź1+βv)$(\frac{\alpha}{1+\beta v})$ of the predator population is nonlinear. We study the existence of equilibrium ...