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