We propose a coupling interface method (CIM) under Cartesian grid for solving elliptic
complex interface problems in arbitrary dimensions, where the coefficients, the source terms …

This paper develops the immersed interface method (IIM) due to [RJ LeVeque, Z. Li, The
immersed interface method for elliptic equations with discontinuous coefficients and singular …

In this article we propose fully discrete least-squares spectral element method for parabolic
interface problems in R 2. Crank–Nicolson scheme is used in time and higher order spectral …

In this paper, we propose a numerical method for solving the heat equations with interfaces.
This method uses the non-traditional finite element method together with finite difference …

We study the numerical solution of a model two-dimensional problem, where the nonlinear
reaction takes place only at some interface curves, due to the present of catalyst. A finite …

Time-fractional partial differential equation is widely applied in a variety of disciplines, its
numerical solution has attracted much attention from researchers in recent years. Time …