A semianalytical grid‐free series solution method is presented for modeling 3‐D steady state
free boundary groundwater‐surface water exchange in geometrically complex stratified …

A semi-analytical mesh-free series solution method is presented for modeling regional
steady-state subsurface saturated–unsaturated flow in 2-D geometrically complex …

Abstract Series solutions to Laplace's equation provide accurate analytical results for
problems with regular boundary geometries. This paper develops the series approach …

Analytical models of groundwater flow with a spatially varying elevation of a top boundary
are widely used. However, a vast majority of previous analytical studies truncated the …

Understanding the head distribution in aquifers is crucial for the evaluation of groundwater
resources. This article develops a model for describing flow induced by pum** in an L …

The Helmholtz partial differential equation occurs in many areas of applied mathematics,
with solutions required for a wide range of boundary geometries and boundary conditions. In …

We investigate the systematic secular spatial variation of specific yield. As a vehicle for this
analysis we consider a canonical unconfined aquifer consisting of a porous zone whose …

A new analytic solution approach is presented for the modeling of steady flow to pum**
wells near rivers in strip aquifers; all boundaries of the river and strip aquifer may be curved …

An analytical series method is presented for steady, two-dimensional, irrotational flow of a
single layer of constant-density fluid over topography. This problem is formulated as a …

Mixed boundary value problems are characterised by a combination of Dirichlet and
Neumann conditions along at least one boundary. Historically, only a very small subset of …