Improved efficient difference method for the modified anomalous sub-diffusion equation with a nonlinear source term

Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

(2016) Minghua Chen et al.   Communications in Computational Physics

A class of second order difference approximations for solving space fractional diffusion equations

(2015) WenYi Tian et al.   MATHEMATICS OF COMPUTATION

Higher order finite difference method for the reaction and anomalous-diffusion equation

(2014) Changpin Li et al.   APPLIED MATHEMATICAL MODELLING

Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

(2014) Zhibo Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation

(2014) Cui-cui Ji et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical solution of fractional advection-diffusion equation with a nonlinear source term

(2014) M. Parvizi et al.   NUMERICAL ALGORITHMS

A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term

(2013) Mostafa Abbaszadeh et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

(2013) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

(2012) Jincheng Ren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes’ first problem for a heated generalized second grade fluid

(2011) Chang-Ming Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

(2011) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

(2011) Qianqian Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A compact finite difference scheme for the fractional sub-diffusion equations

(2010) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

(2010) Chang-Ming Chen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

(2009) Xianjuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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