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Author

Qingguang Guan

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.

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