Yanmin Zhao

Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations

Based on spatial conforming and nonconforming mixed finite element methods combined with classical L1 time stepping method, two fully-discrete approximate schemes with unconditional stability are first established for the time-fractional diffusion equation with Caputo derivative of order

Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations

0<\alpha <1

SOLVING TWO-POINT BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA SPLINE COLLOCATION METHODS

0<α<1. As to the conforming scheme, the spatial global superconvergence and temporal convergence order of

High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes

O(h^2+\tau ^{2-\alpha })

Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes

O(h2+τ2-α) for both the original variable u in