Gegenbauer spectral method for time-fractional convection-diffusion equations with variable coefficients

The homotopy analysis method for solving the time-fractional Fornberg–Whitham equation and comparison with Adomian’s decomposition method

(2013) Mehmet Giyas Sakar et al.   APPLIED MATHEMATICAL MODELLING

The expansion in Gegenbauer polynomials: A simple method for the fast computation of the Gegenbauer coefficients

(2013) Enrico De Micheli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

(2013) Akbar Mohebbi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets

(2013) Safar Irandoust-pakchin et al.   JOURNAL OF VIBRATION AND CONTROL

Computational method for solving space fractional Fisher's nonlinear equation

(2013) Talaat S. El-Danaf et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Solving a laminar boundary layer equation with the rational Gegenbauer functions

(2012) K. Parand et al.   APPLIED MATHEMATICAL MODELLING

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

Variational iteration method for the time-fractional Fornberg–Whitham equation

(2012) Mehmet Giyas Sakar et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

RBFs approximation method for time fractional partial differential equations

(2011) Marjan Uddin et al.   Communications in Nonlinear Science and Numerical Simulation

High-order finite element methods for time-fractional partial differential equations

(2011) Yingjun Jiang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Spectral method for solution of the fractional transport equation

(2011) Abdelouahab Kadem et al.   REPORTS ON MATHEMATICAL PHYSICS

A fast characteristic finite difference method for fractional advection–diffusion equations

(2010) Kaixin Wang et al.   ADVANCES IN WATER RESOURCES

Finite difference methods for fractional dispersion equations

(2010) Lijuan Su et al.   APPLIED MATHEMATICS AND COMPUTATION

A direct O(Nlog2N) finite difference method for fractional diffusion equations

(2010) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method

(2010) M. Shamsi et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Wavelet method for a class of fractional convection-diffusion equation with variable coefficients

(2010) Yiming Chen et al.   Journal of Computational Science

A new operational matrix for solving fractional-order differential equations

(2009) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Implicit finite difference approximation for time fractional diffusion equations

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Variational iteration method for fractional heat- and wave-like equations

(2008) Yulita Molliq R et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS

A generalized differential transform method for linear partial differential equations of fractional order

(2007) Zaid Odibat et al.   APPLIED MATHEMATICS LETTERS