This paper presents a deep learning feedforward neural network framework as a numerical
tool to approximate the solutions to singular nonlinear ordinary differential equations arising …

Purpose The onset of Darcy–Benard convection in a fluid-saturated porous layer within
channeled walls can be through either the convectively amplified perturbations or absolutely …

In this paper, we propose a method to approximate the solutions to nonlinear ordinary
differential equations (ODE) using a deep learning feedforward artificial neural networks …

The linear stability of plane-parallel flow of an incompressible viscous fluid over a saturated
porous layer is studied to model the instability of water flow in a river over aquatic plants …

The stability of the conduction regime of natural convection in an electrically conducting fluid
saturated porous vertical slab is investigated in the presence of a uniform external …

We study how the stability of a homogeneous incompressible fluid flow over a saturated
Brinkman porous medium is affected by a change in porosity. We produce neutral curves …

This present study considers the problem of steady magneto-convection in a horizontal
mushy layer with variable permeability and an impermeable mush–liquid interface during …

We implement a stabilized finite element method for steady Darcy-Brinkman-Forchheimer
model within the continuous Galerkin framework. The nonlinear fluid model is first linearized …

Abstract Effect of Coriolis force and magnetic field on thermal convection in an anisotropic
porous medium has been studied numerically. Linear stability analysis has been …

We consider the nonlinear effect of convective flow in a horizontal mushy layer during
solidification. The mushy layer that we consider has a permeable mush–liquid interface and …