Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations
Publication
, Journal Article
Huang, H; Liu, JG
Published in: Discrete and Continuous Dynamical Systems - Series B
December 1, 2016
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.
Duke Scholars
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
December 1, 2016
Volume
21
Issue
10
Start / End Page
3463 / 3478
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, H., & Liu, J. G. (2016). Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations. Discrete and Continuous Dynamical Systems - Series B, 21(10), 3463–3478. https://doi.org/10.3934/dcdsb.2016107
Huang, H., and J. G. Liu. “Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations.” Discrete and Continuous Dynamical Systems - Series B 21, no. 10 (December 1, 2016): 3463–78. https://doi.org/10.3934/dcdsb.2016107.
Huang H, Liu JG. Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations. Discrete and Continuous Dynamical Systems - Series B. 2016 Dec 1;21(10):3463–78.
Huang, H., and J. G. Liu. “Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations.” Discrete and Continuous Dynamical Systems - Series B, vol. 21, no. 10, Dec. 2016, pp. 3463–78. Scopus, doi:10.3934/dcdsb.2016107.
Huang H, Liu JG. Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations. Discrete and Continuous Dynamical Systems - Series B. 2016 Dec 1;21(10):3463–3478.
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
December 1, 2016
Volume
21
Issue
10
Start / End Page
3463 / 3478
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics