This is the third in a series of four papers which we consider system interacting Fisher-Wright diffusions with seed-bank. Individuals carry type ♡ or ♢, live colonies, and are subject to resampling migration as long they active. Each colony has structured seed-bank into individuals can retreat become dormant, suspending their until active again. As geographic space labelling colonies countable...

This article proposes a family of non-standard methods coupled with compact finite differences to numerically integrate the non-linear Burgers’ equation. Firstly, is derived deal system ordinary differential equations (ODEs) arising from semi-discretization initial-boundary value partial (PDEs). Further, method this considered as special case and fourth-order difference resulting in combined nu...

The obesity epidemic is considered a health concern of paramount importance in modern society. In this work, a nonstandard finite difference scheme has been developed with the aim to solve numerically a mathematical model for obesity population dynamics. This interacting population model represented as a system of coupled nonlinear ordinary differential equations is used to analyze, understand,...

In this paper we consider the temperature and laminar flow of an incompressible conducting fluid past a non-conducting half-space. For space approximation finite differences method-finite difference scheme (FDS) with exact spectrum (FDSES) for solving heat transfer initial boundary-value problem are used. This procedure allows reducing to value ordinary differential equations solution can be ob...

In this paper, we propose a novel family of semi-implicit hybrid finite volume/finite element schemes for computational fluid dynamics (CFD), in particular the approximate solution incompressible and compressible Navier-Stokes equations, as well shallow water equations on staggered unstructured meshes two three space dimensions. The key features method are use an edge-based/face-based dual mesh...

A mathematical model for nutritional transport in capillary tissues exchange system in thepresence of magnetic field has been studied. In this case, the cell is deformed. Due to concentrationgradients, the dissolved nutrient in substrate diffuses into surrounding tissue. Theanalytical method is based on perturbation technique while the numerical simulation is basedon finite difference scheme. R...