This study aims to develop a multiscale method that will help improve drug delivery systems.
A finite volume heterogeneous multiscale method (FV-HMM) is propounded to model mass …

This article presents a finite volume heterogeneous multiscale method (FVHMM-p) to study
drug delivery into biological tissues. The FVHMM-p accounts for the passive diffusion across …

This work is devoted to the numerical solution of the acoustic problem. It has a lot of
important applications, for example, direct and inverse problems of the seismic survey …

This paper reports a new fourth order Finite Difference Method (FDM) in exponential form for
two-dimensional quasilinear boundary value problem of elliptic type (BVPE) with variant …

This article presents a new approximation of order four in exponential form for two-
dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution …

This work presents a methodology to address the problems of bubbles and drops evolving in
incompressible, viscous flows due to the effect of surface tension. It is based on the …

We present a new higher-order accurate finite difference explicit jump Immersed Interface
Method for solving two-dimensional elliptic problems with singular source and discontinuous …

In this article, an advanced nine-point (9P) scheme is proposed for solving multiphase flow
problems in 2D heterogeneous porous media. The proposed 9P scheme is an extension of …

This chapter is devoted to the investigation of the dynamic loading of fractured media
occurred in many applications like the seismic survey process, non-invasive material quality …

A FINITE DIFFERENCE METHOD FOR TWO DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS
WITH IMPERFECT CONTACT* 1. Introduction Page 1 Journal of Computational Mathematics …