A diffusion equation with nonlinear localized chemical reactions is considered in this paper.
As a result of the reactions, although the equation is parabolic, the derivatives of the solution …

Abstract An Immersed Interface Method (IIM) is developed for a reaction-diffusion problem
with discontinuous coefficients and a moving own singular source. On a regular grid using …

This paper analyzes immersed interface difference schemes for onedimensional reaction-
diffusion equations with singular own linear and nonlinear sources. Error bounds in the …

We first discuss the difficulties that arise at the construction of difference schemes on uniform
meshes for a specific elliptic interface problem. Estimates for the rate of convergence in …

Abstract In a recent paper [10], we described and analyzed a finite difference discretization
on adaptive sparse grids in three space dimensions. In this paper, we show how the discrete …

The objective of this paper is to calculate residual stress in drawn wire taking into account
induced temperature due to plastic dissipation energy. Finite element analysis (FEA) for the …

A system of linear reaction-diffusion equations with nonlinear singular own sources is
considered in this paper. Compatibility conditions provided sufficient regularity of the …

First boundary value problem for elliptic equation with youngest coefficient containing Dirac
distribution concentrated on a smooth curve is considered. For this problem a finite …

Построены разностные схемы второго порядка точности на равномерных сетках для
систем уравнений диффузии с локализованными нелинейными химическими …