Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

Finite difference/spectral approximations for the time-fractional diffusion equation

Yumin Lin, Chuanju Xu · Journal of Computational Physics · 2007 · 1.8K citations

Natural Sciences, Mathematics, Physics +14

A fully discrete difference scheme for a diffusion-wave system

Zhi‐zhong Sun, Xiaonan Wu · Applied Numerical Mathematics · 2005 · 1.2K citations

Engineering, Computational Engineering, Mathematics +13

Variable Order and Distributed Order Fractional Operators

Carl F. Lorenzo, Tom T. Hartley · Nonlinear Dynamics · 2002 · 866 citations

Natural Sciences, Mathematics, Algebra +3

Variational formulation for the stationary fractional advection dispersion equation

Vincent J. Ervin, John Paul Roop · Numerical Methods for Partial Differential Equations · 2005 · 790 citations

Computing, Computational Engineering, Mathematics +16

The accuracy and stability of an implicit solution method for the fractional diffusion equation

T. A. M. Langlands, B. I. Henry · Journal of Computational Physics · 2005 · 558 citations

Natural Sciences, Physics, Differential Equations +8