The fundamental solution of a one-parameter family of difference approximations of the laplace operator in the plane

Plane steady-state incompressible fluid flow through a porous medium with a nonlinear resistance laws in the presence of a sink

“…Following the introduction of models of fluid flows in the neighborhood of wells [6], including horizontal wells [7], the models continued to be improved [8][9][10]. In [11][12][13] nonlinear flow laws were used for describing flows in the neighborhood of wells and numerical flow calculation models were constructed on their basis.…”