Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations


Journal Article

In this paper, we discuss error estimates associated with three different aggregation-diffusion splitting schemes for the Keller-Segel equations. We start with one algorithm based on the Trotter product formula, and we show that the convergence rate is CΔt, where Δt is the time-step size. Secondly, we prove the convergence rate CΔt2 for the Strang's splitting. Lastly, we study a splitting scheme with the linear transport approximation, and prove the convergence rate CΔt.

Full Text

Duke Authors

Cited Authors

  • Huang, H; Liu, JG

Published Date

  • December 1, 2016

Published In

Volume / Issue

  • 21 / 10

Start / End Page

  • 3463 - 3478

International Standard Serial Number (ISSN)

  • 1531-3492

Digital Object Identifier (DOI)

  • 10.3934/dcdsb.2016107

Citation Source

  • Scopus