Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

Abstract CONTENTS Introduction Chapter I. Existence and uniqueness of generalized
solutions of the Cauchy problem and of initial boundary-value problems § 1.1. Theorems of …

We consider mixed finite element discretization for a class of degenerate parabolic problems
including the Richards' equation. After regularization, time discretization is achieved by an …

In this paper we prove the convergence of a finite volume scheme for the discretization of an
elliptic–parabolic problem, namely Richards equation β (P) t− div (K (β (P))×∇(P+ z))= 0 …

High order accurate weighted essentially nonoscillatory (WENO) schemes are usually
designed to solve hyperbolic conservation laws or to discretize the first derivative convection …

We consider a model for non-static groundwater flow where the saturation-pressure relation
is extended by a dynamic term. This approach, together with a convective term due to …

In this research the numerical solution of nonlinear degenerate parabolic equations is
investigated by a new sixth‐order finite difference weighted essentially nonoscillatory …

In this work, we consider a mathematical model for describing flow in an unsaturated porous
medium containing a fracture. Both the flow in the fracture as well as in the matrix blocks are …

The coupled model of water flow and solute transport in unsaturated soils is addressed in
this study. Building upon previous research findings by Keita, Beljadid, and Bourgault, we …

The subject of this paper is the nonlinear equation in which subscripts denote partial
differentiation. The functions a and b are hypothesized to belong to C~~ 0, oo)) n C'(0, oo) …