Fractional Diffusion Equations and Their Solution
Speaker:Prof. Hong Wang
Department of Mathematics
University of South Carolina
Date & Time:20 Aug 2012 (Monday) 11:00 - 12:00
Venue:JM08
Organized by:Department of Mathematics

Abstract

Fractional diffusion equations model phenomena exhibiting anomalous diffusion that cannot be modeled accurately by the second-order diffusion equations. Because of the nonlocal property of fractional differential operators, the numerical methods for fractional diffusion equations often generate dense or even full coefficient matrices. Consequently, these methods have excessive computational work and memory requirement.

In this talk we go over the fractional diffusion equations and present a fast numerical method for space-fractional diffusion equations. The method has demonstrated significant computational and memory benefit, which shows the utility of the method.

Biography

Prof. Wang is currently a Professor of Department of Mathematics in University of South Carolina. He is also the member of editorial boards of 5 journals, including, Numerical Methods for Partial Differential Equations, Journal of Korean Society of Industrial and Applied Mathematics, Computing and Visualization in Science etc. Prof. Wang obtained his Ph.D. in Mathematics in Shandong University. He totally has 110 refereed publications, including 5 additional in press. For example, Uniform estimates for Eulerian-Lagrangian methods for singularly perturbed time-dependent problems, Development of CFL-free, explicit schemes for multidimensional advection-reaction equations, and An Eulerian-Lagrangian formulation for compositional flow in porous media etc.