In this paper, several domain decomposition algorithms are considered to solve parallelly
non-steady diffusion equations. The contributions of this work are threefold. The first one is …

In the paper, a new mass-preserving and modified-upwind S-DDM scheme over non-
overlapping multi-block sub-domains for solving time-dependent convection–diffusion …

Abstract Fractional Partial Differential equations (FPDEs) are essential for modeling complex
systems across various scientific and engineering areas. However, efficiently solving FPDEs …

In this paper, we develop a new splitting characteristic finite difference scheme for solving
the time-fractional mobile-immobile nonlinear advection–diffusion equation by combining …

In the paper, a new conservative splitting decomposition method (S-DDM) is developed for
computing nonlinear multicomponent contamination flows in porous media over multi-block …

In the article, a new and efficient mass-conserving operator splitting domain decomposition
method (S-DDM) is proposed and analyzed for solving two dimensional variable coefficient …

In the paper, we develop and analyze a new mass-preserving splitting domain
decomposition method over multiple sub-domains for solving parabolic equations. The …

In this paper, we develop and analyze the efficient splitting domain decomposition method
for solving parabolic equations. The domain is divided into non-overlapping multi-block …

The numerical solution of large scale multi-dimensional convection diffusion equations often
requires efficient parallel algorithms. In this work, we consider the extension of a recently …

It is of importance to develop efficient high-order solution-flux domain decomposition
methods for solving the large scale time-dependent partial differential equations. In this …