Concepedia

A characteristic difference method for the variable-order fractional advection-diffusion equation

Siqi Shen, F. Liu, Vo Anh, Ian Turner, J. Chen

Journal of Applied Mathematics and Computing · 2013 · 59 citations · 28 references

DOI

Concepts

References

28

Numerical Solution of Partial Differential Equations, Finite Difference Methods.

V. T., G. D. Smith · Mathematics of Computation · 1987 · 2K citations

, , +16

Finite difference approximations for fractional advection–dispersion flow equations

Mark M. Meerschaert, Charles Tadjeran · Journal of Computational and Applied Mathematics · 2004 · 1.5K citations

, , +9

Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

Jim Douglas, Thomas F. Russell · SIAM Journal on Numerical Analysis · 1982 · 1.1K citations

, , +13

Finite difference approximations for two-sided space-fractional partial differential equations

Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 2005 · 936 citations

, , +12

Variable Order and Distributed Order Fractional Operators

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

, , +3