A Riesz space-fractional reaction–dispersion equation (RSFRDE) is obtained from the classical reaction–dispersion equation (RDE) by replacing the second-order space derivative with a Riesz derivative of order beta in (1,2]. In this paper, using Laplace and Fourier transforms, we obtain the fundamental solution for a RSFRDE. We propose an explicit finite-difference approximation for a RSFRDE in a bounded spatial domain, and analyse its stability and convergence. Some numerical examples are presented. doi:10.1017/S144618110800033
This article is in continuation of the authors research attempts to derive computational solutions o...
AbstractIn this paper, we consider the numerical solution of the Riesz space fractional diffusion eq...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
A Riesz space-fractional reaction–dispersion equation (RSFRDE) is obtained from the classical reac...
A Riesz space-fractional reaction-dispersion equation (RSFRDE) is obtained from the classical reacti...
The radial basis functions collocation method is developed to solve Riesz space fractional advection...
Various fields of science and engineering deal with dynamical systems that can be described by fract...
In this paper, we consider the numerical solution of a fractional partial differential equation with...
Fractional differential equations have attracted considerable interest because of their ability to m...
In this paper, we consider a space fractional advection–dispersion equation. The equation is obtaine...
In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space f...
In this article, a numerical scheme is formulated and analysed to solve the time-space fractional ad...
In this paper, A Riesz fractional diffusion equation with a nonlinear source term (RFDE-NST) is cons...
In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with th...
Fractional differential equations have attracted considerable attention because of their many applic...
This article is in continuation of the authors research attempts to derive computational solutions o...
AbstractIn this paper, we consider the numerical solution of the Riesz space fractional diffusion eq...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
A Riesz space-fractional reaction–dispersion equation (RSFRDE) is obtained from the classical reac...
A Riesz space-fractional reaction-dispersion equation (RSFRDE) is obtained from the classical reacti...
The radial basis functions collocation method is developed to solve Riesz space fractional advection...
Various fields of science and engineering deal with dynamical systems that can be described by fract...
In this paper, we consider the numerical solution of a fractional partial differential equation with...
Fractional differential equations have attracted considerable interest because of their ability to m...
In this paper, we consider a space fractional advection–dispersion equation. The equation is obtaine...
In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space f...
In this article, a numerical scheme is formulated and analysed to solve the time-space fractional ad...
In this paper, A Riesz fractional diffusion equation with a nonlinear source term (RFDE-NST) is cons...
In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with th...
Fractional differential equations have attracted considerable attention because of their many applic...
This article is in continuation of the authors research attempts to derive computational solutions o...
AbstractIn this paper, we consider the numerical solution of the Riesz space fractional diffusion eq...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...