Water infiltration into layered soils is studied, considering a two dimensional spatial domain.
The focus is on the treatment of discontinuity at the intersection of non-overlapping soils. The …

In this work we propose a new numerical scheme for solving Richards' equation within
Gardner's framework and accomplishing mass conservation. In order to do so, we resort to …

In this paper we introduce an optimal control approach to Richards' equation in an irrigation
framework, aimed at minimizing water consumption while maximizing root water uptake. We …

This paper describes the stability and Hopf bifurcation analysis of the Brusselator system
with delayed feedback control in the single domain of a reaction–diffusion cell. The Galerkin …

In this paper, we have investigated the fractional‐order Brusselator model for the
approximate analytical solution. The concerned coupled system of nonlinear fractional …

We evaluate the performance of global stochastic collocation methods for solving nonlinear
parabolic and elliptic problems (eg, transient and steady nonlinear diffusion) with random …

In this note, Richards' equation for two layered soils is considered in a two-dimensional
spatial domain. It is endowed by pressure gradient and pressure condition at the top of …

We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems
when the data are perturbed. The class includes the Richards equation, Stefan problem and …

We study the implementation of a Chebyshev spectral method with forward Euler integrator
proposed in Berardi et al.(2023) to investigate a peridynamic nonlocal formulation of …

Root-zone soil moisture monitoring is essential for sensor-based smart irrigation and
agricultural drought prevention. Modeling the spatiotemporal water flow dynamics in porous …