Affiliation:
1. School of Mathematical Sciences Fudan University Shanghai 200433 China
2. Department of Mathematics University of South Carolina Columbia South Carolina 29208 USA
Abstract
We prove the well‐posedness and smoothing properties of a distributed‐order time‐fractional diffusion equation with a singular density function in multiple space dimensions, which could model the ultraslow subdiffusion processes. We accordingly derive a finite element approximation to the problem and prove its optimal‐order error estimate. Numerical results are presented to support the mathematical and numerical analysis.
Funder
China Postdoctoral Science Foundation
National Science Foundation
Subject
General Engineering,General Mathematics