Author
Title
Timestepping for a Nonlocal Diffusion Process
Abstract
We consider the time-dependent diffusion equation, formulated in the nonlocal peridynamics setting. Initial and boundary data are given. Time derivatives are approximated using either an explicit Forward Euler, or implicit Backward Euler scheme. The standard timestep stability condition must be reformulated, in light of the peridynamics formulation. We show the results, and the computational implications.