We consider the coupled system of equations that describe flow in fractured porous media.
To describe such types of problems, multicontinuum and multiscale approaches are used …

The splitting method is a powerful method for solving partial differential equations. Various
splitting methods have been designed to separate different physics, nonlinearities, and so …

In this paper, we propose a new mathematical model of language interactions considering
bilingualism. We assume diffusive and convective language spreads with language …

This paper introduces an efficient approach to solve quadratic and nonlinear programming
problems subject to linear equality constraints via the theory of functional connections. This …

In this paper, we consider a class of convection-diffusion equations with memory effects.
These equations arise as a result of homogenization or upscaling of linear transport …

Nonlinear time fractional partial differential equations are widely used in modeling and
simulations. In many applications, there are high contrast changes in media properties. For …

Multi-physics are widely studied and used in numerical analysis and simulation. Physics-
based splitting methods are introduced, in which different methods are applied to solve each …

Partial data is a common challenge in many applied problems, where we can measure only
the part of the solution. This paper considers the poroelasticity problem in fractured media …

In this paper, we propose Meshfree Generalized Multiscale Finite Element Method with a
partially explicit time scheme for solving the nonlinear Stefan problem with high-contrast …