High-order difference scheme for the solution of linear time fractional klein-gordon equations

The Sinc–Legendre collocation method for a class of fractional convection–diffusion equations with variable coefficients

(2012) Abbas Saadatmandi et al.   Communications in Nonlinear Science and Numerical Simulation

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

(2012) H. Jiang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical methods and analysis for a class of fractional advection–dispersion models

(2012) F. Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain

(2012) H. Jiang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

An implicit RBF meshless approach for time fractional diffusion equations

(2011) Q. Liu et al.   COMPUTATIONAL MECHANICS

A tau approach for solution of the space fractional diffusion equation

(2011) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A compact difference scheme for the fractional diffusion-wave equation

(2010) R. Du et al.   APPLIED MATHEMATICAL MODELLING

A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations

(2010) Shahrokh Esmaeili et al.   Communications in Nonlinear Science and Numerical Simulation

Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method

(2010) Ahmet Yıldırım   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Explicit and implicit finite difference schemes for fractional Cattaneo equation

(2010) H.R. Ghazizadeh et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications

(2009) Yong Zhang et al.   ADVANCES IN WATER RESOURCES

The use of He's variational iteration method for solving the telegraph and fractional telegraph equations

(2009) Mehdi Dehghan et al.   International Journal for Numerical Methods in Biomedical Engineering

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

(2009) F. Liu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Compact finite difference method for the fractional diffusion equation

(2009) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

Computational algorithms for computing the fractional derivatives of functions

(2009) Zaid M. Odibat   MATHEMATICS AND COMPUTERS IN SIMULATION

Compact difference schemes for heat equation with Neumann boundary conditions

(2009) Zhi-Zhong Sun   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A mathematical model and a numerical model for hyperbolic mass transport in compressible flows

(2008) Héctor Gómez et al.   HEAT AND MASS TRANSFER

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

(2008) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Finite difference approximations for the fractional Fokker–Planck equation

(2007) S. Chen et al.   APPLIED MATHEMATICAL MODELLING