Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions. - Qianqian Yang 001; Ian W. Turner; Fawang Liu; Milos Ilic (SIAM J. Sci. Comput., 2011)

A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation. - Timothy J. Moroney; Qianqian Yang 001 (Comput. Math. Appl., 2013)

Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners. - Timothy J. Moroney; Qianqian Yang 001 (J. Comput. Phys., 2013)

A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices. - Alex Simmons; Qianqian Yang 001; Timothy J. Moroney (J. Comput. Phys., 2015)

Numerical solution of the time fractional Black-Scholes model governing European options. - Hongmei Zhang 004; Fawang Liu; Ian W. Turner; Qianqian Yang 001 (Comput. Math. Appl., 2016)

GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion. - Megan E. Farquhar; Timothy J. Moroney; Qianqian Yang 001; Ian W. Turner (SIAM J. Sci. Comput., 2016)

Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. - Shanlin Qin; Fawang Liu; Ian W. Turner; Viktor Vegh; Qiang Yu 004; Qianqian Yang 001 (J. Comput. Appl. Math., 2017)

A finite volume method for two-sided fractional diffusion equations on non-uniform meshes. - Alex Simmons; Qianqian Yang 001; Timothy J. Moroney (J. Comput. Phys., 2017)

Numerical simulation of a Finite Moment Log Stable model for a European call option. - Hongmei Zhang 004; Fawang Liu; Ian W. Turner; Shanzhen Chen; Qianqian Yang 001 (Numer. Algorithms, 2017)

Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. - Shanlin Qin; Fawang Liu; Ian W. Turner; Qianqian Yang 001; Qiang Yu 004 (Comput. Math. Appl., 2018)

Generalisation of continuous time random walk to anomalous diffusion MRI models with an age-related evaluation of human corpus callosum. - Qianqian Yang 001; David C. Reutens; Viktor Vegh (NeuroImage, 2022)