Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations

Event Name/Location

Joint Mathematics Meetings/ Seattle, WA

Date Range

January 6-9, 2016

Presentation Date

2016

Document Type

Conference Presentation

Presenters / Authors

Julienne Kabre, Illinois Institute of TechnologyFollow

ORCID ID

0000-0001-7817-4308

Description

Preliminary report.
The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.

NSUWorks Citation

Kabre, Julienne, "Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations" (2016). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 428.
https://nsuworks.nova.edu/cnso_math_facpres/428