Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. - Fawang Liu; Pinghui Zhuang; Vo Anh; Ian W. Turner; Kevin Burrage (Appl. Math. Comput., 2007)

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation. - Pinghui Zhuang; Fawang Liu; Vo Anh; Ian W. Turner (SIAM J. Numer. Anal., 2008)

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term. - Pinghui Zhuang; Fawang Liu; Vo Anh; Ian W. Turner (SIAM J. Numer. Anal., 2009)

Numerical methods and analysis for a class of fractional advection-dispersion models. - Fawang Liu; Pinghui Zhuang; Kevin Burrage (Comput. Math. Appl., 2012)

Numerical analysis of a new space-time variable fractional order advection-dispersion equation. - Hongmei Zhang 004; Fawang Liu; Pinghui Zhuang; Ian W. Turner; Vo Anh (Appl. Math. Comput., 2014)

Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation. - Libo Feng; Pinghui Zhuang; Fawang Liu; Ian W. Turner (Appl. Math. Comput., 2015)

A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation. - Q. Liu; Fawang Liu; Yuantong Gu; Pinghui Zhuang; J. Chen; Ian W. Turner (Appl. Math. Comput., 2015)

A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. - Fawang Liu; Pinghui Zhuang; Ian W. Turner; Vo Anh; Kevin Burrage (J. Comput. Phys., 2015)

Finite element method for space-time fractional diffusion equation. - Libo Feng; Pinghui Zhuang; Fawang Liu; Ian W. Turner; Yuantong Gu (Numer. Algorithms, 2016)

Galerkin finite element method and error analysis for the fractional cable equation. - Pinghui Zhuang; Fawang Liu; Ian W. Turner; Vo V. Anh (Numer. Algorithms, 2016)

A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients. - Libo Feng; Pinghui Zhuang; Fawang Liu; Ian W. Turner; Vo V. Anh; J. Li (Comput. Math. Appl., 2017)

High-order numerical methods for the Riesz space fractional advection-dispersion equations. - Libo Feng; Pinghui Zhuang; Fawang Liu; Ian W. Turner; Jing Li (CoRR, 2020)

Radial point interpolation collocation method based approximation for 2D fractional equation models. - Qingxia Liu; Pinghui Zhuang; Fawang Liu; Minling Zheng; Shanzhen Chen (Comput. Math. Appl., 2021)

Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. - Shujun Shen; Weizhong Dai; Qingxia Liu; Pinghui Zhuang (J. Comput. Appl. Math., 2023)