In this article, the ratio-dependent prey-predator system perturbed with time noise is
numerically investigated. It relates to the population densities of the prey and predator in an …

This article deals with coupled nonlinear stochastic partial differential equations. It is a
reaction-diffusion system, known as the stochastic Gray-Scott model. The numerical …

In this paper, the numerical positivity and almost surely exponential stability of the stochastic
heat equation are discussed. The finite difference method and the split-step backward Euler …

The current study deals with the stochastic diffusive prey–predator model with Holling II
increasing function in the predator. As it is a population dynamics its population can be …

This article deals with hyperbolic partial differential equations with piecewise constant
arguments and variable coefficients. This study, therefore, with the aid of the finite difference …

In the present paper, the numerical solution of Itô type stochastic parabolic equation with a
time white noise process is imparted based on a stochastic finite difference scheme. At the …

The aim of this manuscript is to introduce and analyze a stochastic finite difference scheme
for Itô stochastic partial differential equations. We also discuss the consistency, stability, and …

Stochastic partial differential equations (SPDEs) are significant in various fields such as
epidemiology, mechanics, microelectronics, chemistry, and finance. Obtaining analytical …

In the present paper, we developed an explicit finite difference scheme for stochastic time
fractional heat transfer equation. Furthermore, we proved the conditional stability of the …