Add to ORKGAbstract. In this work we develop a finite difference method for the solution of the 1-D two-sided fractional advection-dispersion equation which enables more general boundary conditions than found in literature. Based on the 1-D method a generalization is developed into 2-D, where we solve the most general equation with a multidirectional fractional differential operator. The method is demostrated on several numerical examples. Key words. 1-D and 2-D multidirectional fractional advection-dispersion equation, fractional diffusion, fractional partial differential equations, finite difference method, numerical solution, general boundary conditions
In this note, a numerical method based on finite differences to solve a class of nonlinear advection...
Contaminant transport in porous media can be modeled with fractional differential equations. This a...
In this chapter, numerical methods for time-space fractional partial differential equations are pres...
AbstractWe develop a numerical method for fractional advection diffusion problems with source terms ...
Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations,...
Numerical schemes and stability criteria are developed for solution of the one-dimensional fractiona...
In this paper, a one-dimensional fractional advection-diffusion equation is considered. First, we pr...
In this paper, we consider a space fractional advection–dispersion equation. The equation is obtaine...
In this review paper, the finite difference methods (FDMs) for the fractional differential equations...
In recent time there is a very great interest in the study of differential equations of fractional o...
International audienceAnomalous diffusion is a phenomenon that cannot be modeled accurately by secon...
In this paper, by combining of fractional centered difference approach with alternating direction im...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
In this paper, a finite difference scheme is presented for time fractional advection diffusion equat...
Abstract According to the principle of conservation of mass and the fractional Fick’s law, a new two...
In this note, a numerical method based on finite differences to solve a class of nonlinear advection...
Contaminant transport in porous media can be modeled with fractional differential equations. This a...
In this chapter, numerical methods for time-space fractional partial differential equations are pres...
AbstractWe develop a numerical method for fractional advection diffusion problems with source terms ...
Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations,...
Numerical schemes and stability criteria are developed for solution of the one-dimensional fractiona...
In this paper, a one-dimensional fractional advection-diffusion equation is considered. First, we pr...
In this paper, we consider a space fractional advection–dispersion equation. The equation is obtaine...
In this review paper, the finite difference methods (FDMs) for the fractional differential equations...
In recent time there is a very great interest in the study of differential equations of fractional o...
International audienceAnomalous diffusion is a phenomenon that cannot be modeled accurately by secon...
In this paper, by combining of fractional centered difference approach with alternating direction im...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
In this paper, a finite difference scheme is presented for time fractional advection diffusion equat...
Abstract According to the principle of conservation of mass and the fractional Fick’s law, a new two...
In this note, a numerical method based on finite differences to solve a class of nonlinear advection...
Contaminant transport in porous media can be modeled with fractional differential equations. This a...
In this chapter, numerical methods for time-space fractional partial differential equations are pres...