in this paper, we propose a new method for solving the stochastic advection-diffusion equation of ito type. in this work, we use a compact finite difference approximation for discretizing spatial derivatives of the mentioned equation and semi-implicit milstein scheme for the resulting linear stochastic system of differential equation. the main purpose of this paper is the stability investigatio...

Abstract— The aim of this work is to construct high-order numerical schemes that preserve the dynamical properties a mathematical model describing spread computer viruses on Internet. For purpose, we first apply Mickens’ methodology formulate dynamically consistent nonstandard finite difference (NSFD) scheme for under consid­eration. After that, constructed NSFD combined with Richardson’s extra...

Singularly perturbed parabolic differential problems with non-smooth data and a large negative shift in the space variable were studied. The proposed scheme is based on method of lines, nonstandard finite difference for discretization, followed by backward Euler resulting system initial value time discretization. stability uniform convergence are investigated proved. As demonstrated theoretical...

In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in...

This study aims to develop an unconditionally stable numerical scheme for the equalwidth wave equation. An unconventional finite difference discretization is employed accomplish this. The John von Neumann methodology used examine stability of suggested method, and scheme's precision established. Numerical results with comparisons are shown demonstrate viability approach equal-width

Estimating the effects of drugs at different stages is directly proportional to duration recovery and pulling through with disease. It very important estimate stages. For this reason, solving Pharmacokinetic models which investigate these are important. In study, numerical solutions one, two, three-compartment nonlinear have been studied. Distributed order differential equations used for soluti...