The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finite element method whereas the Crank-Nicolson scheme is used for temporal discretization. The fully discrete scheme is analyzed to determine stability condition and also to obtain error estimates for the approximate solution. Numerical examples are presented to illustrate convergence results
Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diff...
In this dissertation, we consider numerical methods for solving fractional differential equations wi...
In this paper, we consider the discontinuous Galerkin time stepping method for solving the linear sp...
The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dun...
AbstractIn this paper, a note on the finite element method for the space-fractional advection diffus...
AbstractIn this paper, we propose a fully discrete Galerkin finite element method to solve the gener...
We consider the space fractional advection–dispersion equation, which is obtained from the classical...
AbstractIn this paper, we study the time–space fractional order (fractional for simplicity) nonlinea...
We consider finite element Galerkin solutions for the space fractional diffusion equation with a non...
In this dissertation, we consider numerical methods for solving space-fractional PDEs. We first cons...
The finite difference method for discretization space fractional chemotaxis model is introduced in t...
Fractional differential equations are becoming increasingly used as a modelling tool for processes w...
This article aims to fill in the gap of the second-order accurate schemes for the time-fractional su...
In this paper, we consider two types of space-time fractional diffusion equations(STFDE) on a finite...
This thesis is devoted to theoretical and experimental justifications of numerical methods for fract...
Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diff...
In this dissertation, we consider numerical methods for solving fractional differential equations wi...
In this paper, we consider the discontinuous Galerkin time stepping method for solving the linear sp...
The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dun...
AbstractIn this paper, a note on the finite element method for the space-fractional advection diffus...
AbstractIn this paper, we propose a fully discrete Galerkin finite element method to solve the gener...
We consider the space fractional advection–dispersion equation, which is obtained from the classical...
AbstractIn this paper, we study the time–space fractional order (fractional for simplicity) nonlinea...
We consider finite element Galerkin solutions for the space fractional diffusion equation with a non...
In this dissertation, we consider numerical methods for solving space-fractional PDEs. We first cons...
The finite difference method for discretization space fractional chemotaxis model is introduced in t...
Fractional differential equations are becoming increasingly used as a modelling tool for processes w...
This article aims to fill in the gap of the second-order accurate schemes for the time-fractional su...
In this paper, we consider two types of space-time fractional diffusion equations(STFDE) on a finite...
This thesis is devoted to theoretical and experimental justifications of numerical methods for fract...
Fractional analog of the reaction diffusion equation is used to model the subdiffusion process. Diff...
In this dissertation, we consider numerical methods for solving fractional differential equations wi...
In this paper, we consider the discontinuous Galerkin time stepping method for solving the linear sp...