Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker-Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker-Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
Chen, Chang-ming, Liu, Fawang, Burrage, Kevin
Various fields of science and engineering deal with dynamical systems that can be described by fractional partial differential equations (FPDE), for example, systems biology, chemistry and...
Finite difference approximations for the fractional Fokker–Planck equation (2008)
Chen, S., Liu, Fawang, Zhuang, Pinghui, Anh, Vo V.
The fractional Fokker–Planck equation has been used in many physical transport problems which take place under the influence of an external force field. In this paper we examine some practical...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy-Feller advection-dispersion process, governed by the Levy-Feller advection-dispersion differential equation (LFADE). We show that...
Numerical approximation of Levy-Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy-Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz-Feller...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Liu, Q., Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper we present a random walk model for approximating a Levy–Feller advection–dispersion process, governed by the Levy–Feller advection–dispersion differential equation (LFADE). We...
Numerical approximation of Levy–Feller diffusion equation and its probability interpretation (2007)
Zhang, H., Liu, Fawang, Anh, Vo V.
In this paper, we consider the Levy–Feller fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a Riesz–Feller...
A Fourier method for the fractional diffusion equation describing sub-diffusion (2007)
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., Anh, Vo V.
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose...
Numerical simulation of the fractional-order control system (2007)
Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control...
In this paper, we consider a two-dimensional fractional spacetime diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and...
Finite difference approximation for two-dimensional time fractional diffusion equation (2007)
Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional...
Yin, Cui-Ying, Liu, Fawang, Anh, Vo V.
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Liu, Fawang, Anh, Vo V., Turner, Ian W., Bajracharya, Kiran, Huxley, W. J., Su, Ninghu
In this paper, a two-dimensional control volume finite-element computational model is developed for simulating saltwater intrusion in a heterogeneous coastal alluvial aquifer system at Gooburrum...
Su, Ninghu, Sander, G.C., Liu, Fawang, Anh, Vo, Barry, D.A.
A specific form of the Fokker–Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a...
Su, Ninghu, Sander, G.C., Liu, Fawang, Anh, Vo, Barry, D.A.
A specific form of the Fokker–Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a...
Sander, G. C., Liu, Fawang., Barry, D. A., Anh, Vo.
A specific form of the Fokker–Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a...
Su, Ninghu, Sander, G.C., Liu, Fawang, Anh, Vo, Barry, D.A.
A specific form of the Fokker–Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a...
Su, Ninghu., Sander, G. C., Liu, Fawang., Barry, D. A., Anh, Vo.
A specific form of the Fokker–Planck equation with a time- and scale-dependent dispersivity is presented for modelling solute transport in saturated heterogeneous porous media. By taking a...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Numerical solution of the space fractional Fokker-Planck equation (2004)
Liu, Fawang, Anh, Vo V., Turner, Ian W.
The traditional second-order Fokker-Planck equation may not adequately describe the movement of solute in an aquifer because of large deviation from the dynamics of Brownian motion. Densities of...
Su, Ninghu, Liu, Fawang, Anh, Vo
This paper is concerned with the interactions between periodic tidal waves and coastal aquifers. The analysis is based on a set of equations governing the hydrodynamic interactions near coastal...