Add to ORKGIn this paper, the non-standard finite difference method (NSFDM) is presented for solving numerically the two-dimensional space fractional diffusion equation (SFDE), where the fractional derivative is defined in the sense of the right-shifted Gr¨unwald. The stability and the error analysis for the proposed method are given. Two numerical test examples are presented. It is concluded that the NSFDM scheme preserves numerical stability in larger regions than the standard finite difference method (SFDM)
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
In this paper, a higher order finite difference scheme is proposed for Generalized Fractional Diffus...
In this work, we utilized the nonsingular kernel fractional derivative, known as Caputo-Fabrizio fra...
International audienceAnomalous diffusion is a phenomenon that cannot be modeled accurately by secon...
Fractional diffusion equations model phenomena exhibiting anomalous diffusion that can not b...
In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fr...
Fractional diffusion equations model phenomena exhibiting anomalous diffusion that can not b...
Abstract. Such physical processes as the diffusion in the environments with fractal geometry and the...
In this review paper, the finite difference methods (FDMs) for the fractional differential equations...
In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space f...
Abstract According to the principle of conservation of mass and the fractional Fick’s law, a new two...
International audienceIn this paper, an approximate method combining the finite difference and collo...
In this paper, we consider a type of fractional diffusion equation (FDE) with variable coefficients ...
In this paper, we consider a type of fractional diffusion equation (FDE) with variable coefficients ...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
In this paper, a higher order finite difference scheme is proposed for Generalized Fractional Diffus...
In this work, we utilized the nonsingular kernel fractional derivative, known as Caputo-Fabrizio fra...
International audienceAnomalous diffusion is a phenomenon that cannot be modeled accurately by secon...
Fractional diffusion equations model phenomena exhibiting anomalous diffusion that can not b...
In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fr...
Fractional diffusion equations model phenomena exhibiting anomalous diffusion that can not b...
Abstract. Such physical processes as the diffusion in the environments with fractal geometry and the...
In this review paper, the finite difference methods (FDMs) for the fractional differential equations...
In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space f...
Abstract According to the principle of conservation of mass and the fractional Fick’s law, a new two...
International audienceIn this paper, an approximate method combining the finite difference and collo...
In this paper, we consider a type of fractional diffusion equation (FDE) with variable coefficients ...
In this paper, we consider a type of fractional diffusion equation (FDE) with variable coefficients ...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
In this paper, a higher order finite difference scheme is proposed for Generalized Fractional Diffus...