A stabilized element-free Galerkin (EFG) method is presented and analyzed for the
numerical solution of the advection–diffusion–reaction problem. Through deriving a …

This paper proposes and analyzes a weak Galerkin (WG) finite element method for 2-and 3-
dimensional convection–diffusion–reaction problems on conforming or nonconforming …

We present a numerical method for solving advective–diffusive–absorptive problems with
high values of advection and absorption. A Lagrangian approach based on the updated …

In this paper, we analyze the virtual element method for the quasilinear convection-diffusion-
reaction equation. The most important part in the analysis is the proof of existence and …

This paper presents the variational multiscale element free Galerkin method to solve
convection-diffusion-reaction equation. The equation under consideration involves a small …

Theoretical stability and error analysis on a Conforming Petrov-Galerkin Finite Element
(CPGFE) scheme with the fitting technique for solving the Advection-Dispersion-Decay …

A collocation method based on B-spline is developed for solving Convection-Reaction-
Diffusion equation subjected to Dirichlet's boundary conditions. The method comprises an …

In this paper, we propose a new stabilized linear finite element method for solving reaction–
convection–diffusion equations with arbitrary magnitudes of reaction and diffusion. The key …

In this paper, the determination of the source term in a reaction–diffusion convection
problem is investigated. First with suitable transformations, the problem is reduced, then a …

A novel streamline diffusion form of virtual element method for convectiondominated
diffusion problems is studied. The main feature of the method is that the test function in the …